AsianEuropean Journal of Mathematics
Journal Prestige (SJR): 0.168 Number of Followers: 4 Hybrid journal (It can contain Open Access articles) ISSN (Print) 17935571  ISSN (Online) 17937183 Published by World Scientific [119 journals] 
 Author index (Vol.14)

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Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557121990011
Issue No: Vol. 14, No. 10 (2021)

 Applications of the deferred de la Vallée Poussin means of Fourier
series
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Authors: Xh. Z. Krasniqi
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we have proved four theorems on deferred generalized De la Vallée Poussin summability of Fourier series. Some results obtained previously by others, pertaining to generalized De la Vallée Poussin summability of Fourier series, are particular cases of ours.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210414T07:00:00Z
DOI: 10.1142/S1793557121501795
Issue No: Vol. 14, No. 10 (2021)

 Some new classes of analytic functions related to shelllike curve
associated with ruscheweyh [math]differential operator
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Authors: S. Lakshmi, S. Varadharajan
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we study some new results such as coefficients bounds and Fekete–Szegö inequalities of the certain classes starlike and convex functions associated with shelllike defined using the concept of Ruscheweyh [math]differential operator. Comparisons of new results with those that were obtained in earlier investigation are given as corollaries.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210320T07:00:00Z
DOI: 10.1142/S1793557121501837
Issue No: Vol. 14, No. 10 (2021)

 On ringlike structures of latticeordered numerical events

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Authors: Dietmar Dorninger, Helmut Länger
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
Let [math] be a set of states of a physical system. The probabilities [math] of the occurrence of an event when the system is in different states [math] define a function from [math] to [math] called a numerical event or, more accurately, an [math]probability. Sets of [math]probabilities ordered by the partial order of functions give rise to socalled algebras of [math]probabilities, in particular, to the ones that are latticeordered. Among these, there are the [math]algebras known from probability theory and the Hilbertspace logics which are important in quantummechanics. Any algebra of [math]probabilities can serve as a quantumlogic, and it is of special interest when this logic turns out to be a Boolean algebra because then the observed physical system will be classical. Boolean algebras are in onetoone correspondence to Boolean rings, and the question arises to find an analogue correspondence for latticeordered algebras of [math]probabilities generalizing the correspondence between Boolean algebras and Boolean rings. We answer this question by defining ringlike structures of events (RLSEs). First, the structure of RLSEs is revealed and Boolean rings among RLSEs are characterized. Then we establish how RLSEs correspond to latticeordered algebras of numerical events. Further, functions for associating latticeordered algebras of [math]probabilities to RLSEs are studied. It is shown that there are only two ways to assign latticeordered algebras of [math]probabilities to RLSEs if one restricts the corresponding mappings to term functions over the underlying orthomodular lattice. These term functions are the very functions by which also the Boolean algebras can be assigned to Boolean rings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210312T08:00:00Z
DOI: 10.1142/S1793557121501862
Issue No: Vol. 14, No. 10 (2021)

 Connectednesses of graphs and congruences

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Authors: Stefan Veldsman
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
A connectedness of graphs is the analogue of the radical class of algebraic structures. The similarities (and differences) between these two theories and other radical theories have been explored at many different levels of generality. The recent development of a theory of congruences for graphs has opened up the possibility to explore and further strengthen this analogy. It is shown that a graph connectedness can be characterized with the use of congruences in an exact analogous way as the radical classes of associative rings using ideals.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210306T08:00:00Z
DOI: 10.1142/S1793557121501783
Issue No: Vol. 14, No. 10 (2021)

 On concomitants of dual generalized order statistics from
Bairamov–Kotz–Becki Farlie–Gumbel–Morgenstern bivariate
distributions
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Authors: M. A. Alawady, H. M. Barakat, Shengwu Xiong, M. A. Abd Elgawad
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we study the concomitants of [math]dual generalized order statistics ([math]DGOS) from Bairamov–Kotz–Becki Farlie–Gumbel–Morgenstern bivariate distributions as an extension of several recent papers. This study can also be applied to the model of [math]generalized order statistics ([math]GOS) as a parallel model of [math]DGOS. Furthermore, the joint distribution of [math]DGOS of concomitants for this family is studied. Some useful recurrence relations between single and product moments of concomitants are obtained. Moreover, most of the paper results are extended to any arbitrary distribution. Finally, an application of these results is given for bivariate generalized exponential distribution.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210306T08:00:00Z
DOI: 10.1142/S1793557121501850
Issue No: Vol. 14, No. 10 (2021)

 New hyrid conjugate gradient method as a convex combination of HZ and CD
methods
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Authors: Amira Hamdi, Badreddine Sellami, Mohammed Belloufi
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems, the conjugate gradient parameter [math] is computed as a convex combination of [math] and [math]. Under the wolfe line search, we prove the sufficient descent and the global convergence. Numerical results are reported to show the effectiveness of our procedure.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210306T08:00:00Z
DOI: 10.1142/S1793557121501874
Issue No: Vol. 14, No. 10 (2021)

 Matching polynomials for some nanostar dendrimers

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Authors: Fateme Movahedi
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
Dendrimers are highly branched monodisperse, macromolecules and are considered in nanotechnology with a variety of suitable applications. In this paper, the matching polynomial and some results of the matchings for three classes of nanostar dendrimers are obtained. Furthermore, we express the recursive formulas of the Hosoya index for these structures of dendrimers by their matching polynomials.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210306T08:00:00Z
DOI: 10.1142/S1793557121501886
Issue No: Vol. 14, No. 10 (2021)

 Jordan and Lie ideals of inverse semirings

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Authors: Sara Shafiq, Muhammad Aslam
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we consider the notion of Jordan ideals and the Lie ideals in inverse semirings. It includes generalization of some wellknown results of Herstein, in the setting of inverse semirings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210226T08:00:00Z
DOI: 10.1142/S1793557121501813
Issue No: Vol. 14, No. 10 (2021)

 Classifying gyrotransversals in groups

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Authors: Ratan Lal, Vipul Kakkar
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we classify the gyrotransversals upto isomorphism in a group [math] to a fixed subgroup of it. As an application, we have calculated the isomorphism class of gyrotransversals in finite dihedral group to any subgroup of it. As a consequence, we get a lower bound for nonisomorphic right gyrogroups of order [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210226T08:00:00Z
DOI: 10.1142/S1793557121501825
Issue No: Vol. 14, No. 10 (2021)

 Sweeping surfaces according to type2 Bishop frame in Euclidean 3space

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Authors: Rashad A. AbdelBaky, Fatemah Mofarreh
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
This work is concerned with the study of the kinematicgeometry of a special kind of tube surfaces, socalled sweeping surface in Euclidean 3space [math]. It is generated by a plane curve moving through space such that the movement of any point on the surface is always orthogonal to the plane. In particular, the type2 Bishop frame is considered and some important theorems are obtained. Also, the problem of singularity and convexity of such sweeping surface is discussed. Finally, an application is presented and plotted using computer aided geometric design.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210226T08:00:00Z
DOI: 10.1142/S1793557121501849
Issue No: Vol. 14, No. 10 (2021)

 A new hybrid algorithm based on binary gray wolf optimization and firefly
algorithm for features selection
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Authors: Omar Saber Qasim, Noor Muhammed Noori
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In classifying diseases, many datasets have a number of redundant features that do not affect classification accuracy. There are several evolutionary algorithms that are used to determine the feature and reduce dimensional patterns such as the gray wolf optimization (GWO) and the firefly algorithm (FFA). In this paper, a hybrid optimization algorithm BGWO_FFA was proposed to find the optimal subset of datasets. BGWO_FFA benefits from the ability of both GWO and FFA to find the best subset of features in search space. The results show that BGWO_FFA significantly outperformed the results of the algorithm BGWO as it showed efficient and high accuracy through the mean squared error (MSE) and the number of features selection.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210223T08:00:00Z
DOI: 10.1142/S1793557121501722
Issue No: Vol. 14, No. 10 (2021)

 Isophote curves on spacelike surfaces in Lorentz–Minkowski space

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Authors: Fatih Doğan, Yusuf Yaylı
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
An isophote curve consists of a locus of surface points whose normal vectors make a constant angle with a fixed vector (the axis). In this paper, we define an isophote curve on a spacelike surface in Lorentz–Minkowski space [math] and then find its axis as timelike and spacelike vectors via the Darboux frame. Besides, we give some relations between isophote curves and special curves on surfaces such as geodesic curves, asymptotic curves or lines of curvature.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210223T08:00:00Z
DOI: 10.1142/S1793557121501801
Issue No: Vol. 14, No. 10 (2021)

 Warped product pointwise bislant submanifolds of kenmotsu manifolds

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Authors: Shyamal Kumar Hui, Joydeb Roy, Tanumoy Pal
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
This paper deals with the study of warped product pointwise bislant submanifolds of Kenmotsu manifolds with an example. The characterization for such submanifold is also discussed. An inequality of such submanifold is obtained and its equality case is also considered.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501692
Issue No: Vol. 14, No. 10 (2021)

 Nonlinear iterative algorithms for solving variational inequality problems
over the set of common fixed point of oneparameter nonexpansive semigroup
and demicontractive mappings
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Authors: T. M. M. Sow
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we propose a practical iterative method for solving variational inequality problem over the set of common fixed point of oneparameter nonexpansive semigroup and demicontractive mappings in a real Hilbert space. In a first step, we prove that this variational inequality problem admit one and a unique solution. Secondly, we deduced an iterative algorithm that converges strongly to the solution. Finally, we will apply these results to study some nonlinear problems.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501709
Issue No: Vol. 14, No. 10 (2021)

 On the vertex monophonic, vertex geodetic and vertex Steiner numbers of
graphs
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Authors: J. John
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
Let [math] be a vertex of a connected graph G. It is proved that [math] and [math], where [math], [math] and [math] are [math]monophonic, [math]geodetic and [math]Steiner numbers of [math], respectively. However, there is no relationship between [math] and [math]. It is proved that in distancehereditary graphs, [math]. It is shown that for any positive integers [math], [math] and [math] with [math], [math] and [math], there exists a connected graph [math] such that [math], [math] and [math] for some vertex [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501710
Issue No: Vol. 14, No. 10 (2021)

 Numerical method for solving inverse source problem for Poisson equation

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Authors: Abir Benyoucef, Leïla Alem, Lahcène Chorfi
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
We consider an inverse problem for the Poisson equation [math] in the square [math] which consists of determining the source [math] from boundary measurements. Such problem is illposed. We restrict ourselves to a class of functions [math]. To illustrate our method, we first assume that [math] and [math] are known functions with partial data at the boundary. For the reconstruction, we consider approximations by the Fourier series, therefore we obtain an illposed linear system which requires a regularization strategy. In the general case, we propose an iterative algorithm based on the full data at the boundary. Finally, some numerical results are presented to show the effectiveness of the proposed reconstruction algorithms.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501734
Issue No: Vol. 14, No. 10 (2021)

 Qadratic residue codes over [math]

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Authors: Sachin Pathak, Gobinda Ghosh, Bhanu P. Yadav, Ashish K. Upadhyay
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In this paper, we study quadratic residue (QR) codes of prime length [math] over the ring [math] with [math] and [math], where [math] and [math] are distinct odd prime numbers. We analyze some basic properties of cyclic codes of length [math] over [math], we define QR codes by their generating idempotents. Further, we discuss the extended QR codes. We present a considerable number of good [math]ary codes as Gray images of QR codes over [math] by considering the case when [math] is an odd prime.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501746
Issue No: Vol. 14, No. 10 (2021)

 New quantum codes from cyclic codes over finite chain ring of length 3

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Authors: Brahim Boudine, Jamal Laaouine, Mohammed Elhassani Charkani
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
Let [math] be a commutative finite chain ring with [math] is its maximal ideal, [math] is its residual field and [math] the index of nilpotency of [math]. In this paper, we compute the dual code of some types of cyclic codes over [math] when [math]. Afterward, we show how extract some new quantum codes from these cyclic codes.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501758
Issue No: Vol. 14, No. 10 (2021)

 On eigenvalues of the reciprocal distance signless Laplacian matrix of
graphs
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Authors: Abdollah Alhevaz, Maryam Baghipur, Yaser Alizadeh, Shariefuddin Pirzada
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
For a simple connected graph [math], the reciprocal transmission [math] of a vertex [math] is defined as TrG′(v) =∑ u∈V (G) 1 dG(u,v),u≠v. The reciprocal distance signless Laplacian (briefly RDSL) matrix of a connected graph [math] is defined as [math], where [math] is the Harary matrix (reciprocal distance matrix) of [math] and [math] is the diagonal matrix of the vertex reciprocal transmissions in [math]. In this paper, we first investigate the RDSL spectrum of the join and also joined union of graphs and we construct new pairs of equienergetic graphs by using the joined union of regular graphs. Then we obtain some bounds on the spectral radius of reciprocal distance signless Laplacian matrix of [math], which is the largest eigenvalue of the matrix [math]. We also characterize the extremal graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S179355712150176X
Issue No: Vol. 14, No. 10 (2021)

 Back to the common spectral properties of operators satisfying [math] and
[math]
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Authors: Soufiane Hadji, Hassane Zguitti
Abstract: AsianEuropean Journal of Mathematics, Volume 14, Issue 10, October 2021.
In [A. Gupta and A. Kumar, Common spectral properties of linear operators [math] and [math] satisfying [math] and [math], AsianEuropean J. Math. 12(5) (2019) 1950084], Gupta and Kumar studied the common spectral properties for two Banach bounded linear operators [math] and [math] satisfying [math] and [math] for some positive integer [math]. In this note, we study the common local spectral properties for such operators by showing that [math] and [math] share the single valued extension property, the Bishop property [math] the property [math] the decomposition property [math] and decomposability. The closedness of analytic core and the quasinilpotent part and then the Dunford’s property [math] and the property [math] are also investigated.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210205T08:00:00Z
DOI: 10.1142/S1793557121501771
Issue No: Vol. 14, No. 10 (2021)

 Refining the upper bound for the numerical radius of Hilbert space
operators
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Authors: Zahra Heydarbeygi, Mohammad Ali Shiran Khorasani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Several upper estimates for the numerical radius of Hilbert space operators are given. Among many other inequalities, it is shown that if [math], then ω2(B∗A) ≤ A 4 + B 4 2 − A 2 − B 2 22 .
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211020T07:00:00Z
DOI: 10.1142/S1793557122501340

 Double Roman domination subdivision number in graphs

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Authors: J. Amjadi, H. Sadeghi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
For a graph [math], a double Roman dominating function is a function [math] having the property that if [math], then vertex [math] must have at least two neighbors assigned [math] under [math] or one neighbor with [math], and if [math], then vertex [math] must have at least one neighbor with [math]. The weight of a double Roman dominating function [math] is the value [math]. The double Roman domination number of a graph [math], denoted by [math], equals the minimum weight of a double Roman dominating function on [math]. The double Roman domination subdivision number [math] of a graph [math] is the minimum number of edges that must be subdivided (each edge in [math] can be subdivided at most once) in order to increase the double Roman domination number. In this paper, we first show that the decision problem associated with sd[math] is NPhard and then establish upper bounds on the double Roman domination subdivision number for arbitrary graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211018T07:00:00Z
DOI: 10.1142/S179355712250125X

 Computable embeddability for algebraic structures

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Authors: Nikolay Bazhenov, Manat Mustafa
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In computability theory, the standard tool to classify preorders is provided by the computable reducibility. If [math] and [math] are preorders with domain [math], then [math] is computably reducible to [math] if and only if there is a computable function [math] such that for all [math] and [math], [math] [math][math]. We study the complexity of preorders which arise in a natural way in computable structure theory. We prove that the relation of computable isomorphic embeddability among computable torsion abelian groups is a [math] complete preorder. A similar result is obtained for computable distributive lattices. We show that the relation of primitive recursive embeddability among punctual structures (in the setting of Kalimullin et al.) is a [math] complete preorder.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211018T07:00:00Z
DOI: 10.1142/S1793557122501261

 A new class of nonlinear conjugate gradient coefficients for unconstrained
optimization
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Authors: Amina Boumediene, Tahar Bechouat, Rachid Benzine, Ghania Hadji
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The nonlinear Conjugate gradient method (CGM) is a very effective way in solving largescale optimization problems. Zhang et al. proposed a new CG coefficient which is defined by [math]. They proved the sufficient descent condition and the global convergence for nonconvex minimization in strong Wolfe line search. In this paper, we prove that this CG coefficient possesses sufficient descent conditions and global convergence properties under the exact line search.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211014T07:00:00Z
DOI: 10.1142/S1793557122501339

 The minimum vertex–vertex dominating Laplacian energy of a graph

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Authors: N. V. Sayinath Udupa, R. S. Bhat
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] denote the set of all blocks of a graph [math]. Two vertices are said to vvdominate each other if they are vertices of the same block. A set [math] is said to be vertex–vertex dominating set (vvdominating set) if every vertex in [math] is vvdominated by some vertex in [math]. The vvdomination number [math] is the cardinality of the minimum vvdominating set of [math]. In this paper, we introduce new kind of graph energy, the minimum vvdominating Laplacian energy of a graph denoting it as LE[math]. It depends both on the underlying graph of [math] and the particular minimum vvdominating set of [math]. Upper and lower bounds for LE[math] are established and we also obtain the minimum vvdominating Laplacian energy of some family of graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211013T07:00:00Z
DOI: 10.1142/S1793557122501273

 Reduced Sombor index of bicyclic graphs

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Authors: Shiikhar Dorjsembe, Batmend Horoldagva
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The concept of Sombor indices (SO) of a graph was recently introduced by Gutman and the reduced Sombor index [math] of a graph [math] is defined by [math] where [math] is the degree of the vertex [math]. In this paper, we study the extremal properties of the reduced Sombor index and characterize the bicyclic graphs with extremal [math]value.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211013T07:00:00Z
DOI: 10.1142/S1793557122501285

 The approximate solution of nonlinear Fredholm implicit
integrodifferential equation in the complex plane
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Authors: Samir Lemita, Sami Touati, Kheireddine Derbal
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper’s purpose is to study the nonlinear Fredholm implicit integrodifferential equation in the complex plane, where the term implicit integrodifferential means that the derivative of unknown function is founded inside of the integral operator. Initially, according to Banach fixed point theory, we ensure that the equation has a unique solution under particular conditions. However, we exhibit a numerical process based on the conjunction between Nyström and Picard methods, for the sake of approximating solutions of this equation. In addition to that, the convergence analysis of this numerical process is demonstrated, and some illustrated numerical examples are presented.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211013T07:00:00Z
DOI: 10.1142/S1793557122501315

 Some refined Young type inequalities using different weights

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Authors: Leila Nasiri, Bahman Askari
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The Young type inequality asserts that if [math] are two positive real numbers, then for each [math], we have aνb1−ν ≤ νa + (1 − ν)b. In this paper, we obtain some new inequalities using two different weights. For example, if [math], then v2a2 + (1 − ν)2b2 ≥ (νa)2νb2−2ν + ν2(a − b)2 + r 0b((νa)♯2μ b −b)2 + νb μ ((νa)∇2μb − (νa)♯2μb), where [math] In addition, we refine some matrix inequalities for Unitarily invariant norms by applying the deduced numerical inequalities.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211012T07:00:00Z
DOI: 10.1142/S1793557122501224

 Construction of irreducible polynomials over finite fields

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Authors: P. L. Sharma, Ashima
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Irreducible polynomials over finite fields and their applications have been quite well studied. Here, we discuss the construction of the irreducible polynomials of degree [math] over the finite field [math] for a given irreducible polynomial of degree [math]. Furthermore, we construct the irreducible polynomials of degree [math] over the finite field [math] for a given irreducible polynomial of degree [math] by using the method of composition of polynomials with some conditions on coefficients and degree of a given irreducible polynomial.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211012T07:00:00Z
DOI: 10.1142/S1793557122501303

 Setvalued perturbation to secondorder evolution problems with
timedependent subdifferential operators
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Authors: Soumia Saïdi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The main purpose of this work is to study the existence of solutions for a perturbed secondorder evolution inclusion involving timedependent subdifferential operators. Under suitable conditions on the setvalued perturbation, the main result of the paper is proved in the context of a separable Hilbert space. A secondorder evolution quasivariational inequality is also investigated.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211008T07:00:00Z
DOI: 10.1142/S1793557122501297

 A method for choosing the regularization parameter of determining the
righthand side from integral observation
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Authors: Nguyen Thi Ngoc Oanh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, the inverse problem of reconstructing the righthand side from integral observation is studied by using variational method to minimizing objective functional combining with Tikhonov regularization. The Lcurve method is suggested for choosing the regularization parameter.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20211008T07:00:00Z
DOI: 10.1142/S1793557122501327

 A new extension of Kannan’s fixed point theorem via [math]contraction
with application to integral equations
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Authors: Pradip Debnath
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Our aim is to introduce an updated and real generalization of Kannan’s fixed point theorem with the help of [math]contraction introduced by Wardowski for singlevalued mappings. Our result can be useful to ascertain the existence of fixed point for a family of mappings for which neither the Wardowski’s result nor that of Kannan can be applied directly. Our result has been applied to solve a particular type of integral equation. Finally, we establish a Reichtype extended version of the main result.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210918T07:00:00Z
DOI: 10.1142/S1793557122501236

 Summand intersection property of modules via [math]closed submodules

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Authors: Figen Takil Mutlu, Adnan Tercan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we define a module [math] to be [math] if and only if intersection of each pair of [math]closed direct summands is also a direct summand of [math]. We investigate structural properties of [math]modules and locate the implications between the other module properties which are essentially based on direct summands. We deal with decomposition theory as well as direct summands of [math]modules. We apply our results to matrix rings. To this end, it is obtained that the [math] property is not Morita invariant.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210918T07:00:00Z
DOI: 10.1142/S1793557122501248

 Graceful labeling of power graph of group [math]

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Authors: Amit Sehgal, Neeraj Takshak, Pradeep Maan, Archana Malik
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The power graph of a finite group G is a special type of undirected simple graph whose vertex set is set of elements of G, in which two distinct vertices of G are adjacent if one is the power of other. Let [math] be a finite abelian 2group of order [math] where [math]. In this paper, we establish that the power graph of finite abelian group G always has graceful labeling without any condition on [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210911T07:00:00Z
DOI: 10.1142/S1793557122501212

 On generalized Fibonacci difference sequence spaces and compact operators

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Authors: Taja Yaying, Bipan Hazarika, Mikail Et
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce Fibonacci backward difference operator [math] of fractional order [math] by the composition of Fibonacci band matrix [math] and difference operator [math] of fractional order [math] defined by [math] and introduce sequence spaces [math] and [math] We present some topological properties, obtain Schauder basis and determine [math], [math] and [math]duals of the spaces [math] and [math] We characterize certain classes of matrix mappings from the spaces [math] and [math] to any of the space [math] [math] [math] or [math] Finally we compute necessary and sufficient conditions for a matrix operator to be compact on the spaces [math] and [math]
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210910T07:00:00Z
DOI: 10.1142/S1793557122501169

 Existence of best proximity points satisfying two constraint inequalities

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Authors: D. Balraj, J. Geno Kadwin, M. Marudai
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint inequalities.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210903T07:00:00Z
DOI: 10.1142/S1793557122501042

 An explicit extragradient algorithm for solving variational inequality
problem with application
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Authors: Olawale Kazeem Oyewole, Lateef Olakunle Jolaoso, Oluwatosin Temitope Mewomo
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce a new explicit extragradient algorithm for solving Variational Inequality Problem (VIP) in Banach spaces. The proposed algorithm uses a linesearch method whose inner iterations are independent of any projection onto feasible sets. Under standard and mild assumption of pseudomonotonicity and uniform continuity of the VIP associated operator, we establish the strong convergence of the scheme. Further, we apply our algorithm to find an equilibrium point with minimal environmental cost for a model in electricity production. Finally, a numerical result is presented to illustrate the given model. Our result extends, improves and unifies other related results in the literature.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210903T07:00:00Z
DOI: 10.1142/S1793557122501170

 Multiple solutions for a nonlocal fractional boundary value problem with
fractional integral conditions on infinite interval
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Authors: Abdellatif Ghendir Aoun, Smaïl Djebali
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper discusses the existence and multiplicity of positive solutions for fractional differential equations with nonlocal fractional integrodifferential boundary conditions set on an unbounded domain. Using properties of Green’s function and the fixed point theory, some existence results were obtained. Three examples illustrate the existence theorems.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210903T07:00:00Z
DOI: 10.1142/S1793557122501182

 Catalan transform of the incomplete Jacobsthal numbers and incomplete
generalized Jacobsthal polynomials
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Authors: Engi̇n Özkan, Mi̇ne Uysal, Bahar Kuloğlu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with [math]by using Hankel transform. Then we define the incomplete [math]Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210903T07:00:00Z
DOI: 10.1142/S1793557122501194

 An iterative algorithm with inertial technique for solving the split
common null point problem in Banach spaces
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Authors: Yan Tang, Pongsakorn Sunthrayuth
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this work, we introduce a modified inertial algorithm for solving the split common null point problem without the prior knowledge of the operator norms in Banach spaces. The strong convergence theorem of our method is proved under suitable assumptions. We apply our result to the split feasibility problem, split equilibrium problem and split minimization problem. Finally, we provide some numerical experiments including compressed sensing to illustrate the performances of the proposed method. The result presented in this paper improves and generalizes many recent important results in the literature.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210903T07:00:00Z
DOI: 10.1142/S1793557122501200

 Generalized relaxed inertial method with regularization for solving split
feasibility problems in real Hilbert spaces
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Authors: A. A. Mebawondu, L. O. Jolaoso, H. A. Abass, O. K. Narain
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we propose a new modified relaxed inertial regularization method for finding a common solution of a generalized split feasibility problem, the zeros of sum of maximal monotone operators, and fixed point problem of two nonlinear mappings in real Hilbert spaces. We prove that the proposed method converges strongly to a minimumnorm solution of the aforementioned problems without using the conventional two cases approach. In addition, we apply our convergence results to the classical variational inequality and equilibrium problems, and present some numerical experiments to show the efficiency and applicability of the proposed method in comparison with other existing methods in the literature. The results obtained in this paper extend, generalize and improve several results in this direction.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557122501066

 BVPs with the nonlinearity depending on the fractional derivative

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Authors: Nader Biranvand, Amjad Salari, Saeed Hashemi Sababe
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study the existence and the numerical estimates of the solutions for a set of fractional differential equations. The nonlinear part of the problem, however, presupposes certain hypotheses. Particularly, for the exact localization of the parameter, the existence of a nonzero solution is established, which requires the sublinearity of the nonlinear part at origin and infinity. The novelty of this paper is to use variational methods to obtain the multiplicity of solutions of boundary value problems with the nonlinearity depending on the fractional derivative.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557122501078

 On groups with conjugatepermutable subgroups

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Authors: Viachaslau I. Murashka
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
According to Foguel, a subgroup [math] of a group [math] is called conjugatepermutable if [math] for every [math]. Mingyao Xu and Qinhai Zhang studied finite groups with every subgroup conjugatepermutable (ECPgroups) and asked three questions about them. We gave the answers to these questions. In particular, every group of exponent 3 is an ECPgroup, there exist nonregular ECP[math]groups and the class of all finite ECPgroups is neither a formation nor a variety.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S179355712250108X

 On normality of a closure space generated from a tree by relation

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Authors: A. K. Das, Ria Gupta
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Binary relation plays a prominent role in the study of mathematics in particular applied mathematics. Recently, some authors generated closure spaces through relation and made a comparative study of topological properties in the space by varying the property on the relation. In this paper, we have studied closure spaces generated from a tree through binary relation and observed that under certain situation the space generated from a tree is normal.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557122501108

 Generalized derivations, quasiderivations and centroids of BihomLie
triple system
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Authors: Abdelkader Ben Hassine
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we give some properties of the generalized derivation algebra [math] of a BihomLie triple system [math]. In particular, we prove that [math], the sum of the quasiderivation algebra and the quasicentroid. We also prove that [math] can be embedded as derivations in a larger BihomLie triple system.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S179355712250111X

 Nobusawa gamma nearness hemirings

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Authors: Özlem Teki̇n, Mehmet Ali̇ Öztürk
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The aim of this paper is to introduce Nobusawa [math]nearness hemiring theory and also to study some properties of ideals and prime (semiprime) ideals for Nobusawa [math]nearness hemirings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557122501121

 Graded [math]2absorbing hyperideals in graded multiplicative hyperrings

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Authors: F. Farzalipour, P. Ghiasvand
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be an abelian group with identity [math]. Let [math] be a graded multiplicative hyperring and [math] be a function where [math] is the set of graded hyperideals of [math] and [math] for every graded hyperideal [math] of [math]. In this paper, we introduce and study the concepts of graded [math][math]absorbing hyperideals and graded [math][math]absorbing primary hyperideals of [math]. Moreover, we give a number of main results and the basic properties concerning these classes of graded hyperideals and their homogeneous components.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557122501133

 The linear canonical Hankel type transformations associated with
translation and convolution
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Authors: B. B. Waphare
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper is the study of Hankel type translation and Hankel type convolution for linear canonical Hankel type transformations. In this paper, I have studied some inequalities associated with Hankel type translation and Hankel type convolution. Also, I have studied some applications of linear canonical Hankel transformation to a canonical convolution integral equation and a generalized nonlinear parabolic equation.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210827T07:00:00Z
DOI: 10.1142/S1793557122501145

 Psqinjective modules and rings

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Authors: Avanish Kumar Chaturvedi, Sandeep Kumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
For any two right [math]modules [math] and [math], [math] is said to be a ps[math]injective module if, any monomorphism [math] can be extended to [math]. Also, [math] is called psqinjective if [math] is a ps[math]injective module. We discuss some properties and characterizations in terms of psqinjective modules.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210824T07:00:00Z
DOI: 10.1142/S1793557122501017

 On generalized zerodivisor graphs of a noncommutative ring with respect
to an ideal
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Authors: Priyanka Pratim Baruah, Kuntala Patra
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a noncommutative ring, and [math] be an ideal of [math]. In this paper, we generalize the definition of the zerodivisor graph of [math] with respect to [math], and define several generalized zerodivisor graphs of [math] with respect to [math]. In this paper, we investigate the ringtheoretic properties of [math] and the graphtheoretic properties of all the generalized zerodivisor graphs. We study some basic properties of these generalized zerodivisor graphs related to the connectedness, the diameter and the girth. We also investigate some properties of these generalized zerodivisor graphs with respect to primal ideals.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210824T07:00:00Z
DOI: 10.1142/S1793557122501054

 Commutativity in 3prime nearrings through permutation identities

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Authors: S. Aishwarya, Kedukodi Babushri Srinivas, Kuncham Syam Prasad
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate permutation identities satisfied by semigroup left ideals and weak semigroup left ideals in prime nearrings. We obtain results on commutativity of multiplication and addition using these identities. We provide examples to show the necessity of certain conditions in some of the results obtained. Finally, we give a characterization of Galois field in terms of permutation identities.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210824T07:00:00Z
DOI: 10.1142/S1793557122501091

 On impulsive semidynamical systems: Relation between topological entropy
and various types of expansivity
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Authors: Faride Ghorbani Moghaddam, Alireza Zamani Bahabadi, Bahman Honary
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we generalize the notion of expansivity, CW expansivity and Nexpansivity for impulsive dynamical systems and we prove CW expansivity implies positive [math]topological entropy. Also, we define new version of topological entropy for impulsive semiflows and we can bound this topological entropy of expansive impulsive semiflows from lower by the exponential growth rate of periodic orbits.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210819T07:00:00Z
DOI: 10.1142/S1793557122501157

 Subdirect products of an idempotent semiring and a [math]lattice of
skewrings
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Authors: R. Debnath, S. K. Maity, A. K. Bhuniya
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Bandelt and Petrich [Subdirect products of rings and distributive lattices, Proc. Edinburgh Math. Soc. (2) 25(2) (1982) 155–171] characterized a class of additive inverse semirings which are subdirect products of a distributive lattice and a ring. The aim of this paper is to characterize a class of additively regular semirings which are subdirect products of an idempotent semiring and a [math]lattice of skewrings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210804T07:00:00Z
DOI: 10.1142/S1793557122500978

 Inverse eigenvalue problem for Jacobi matrix and nonnegative matrices

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Authors: Somayeh Zangoei Zadeh, Azim Rivaz
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we present a method for constructing a Jacobi matrix [math] using [math] known eigenvalues [math]. Some conditions are also given under which the constructed matrix is nonnegative and its diagonal entries are specified. Finally, we present a technique for constructing symmetric and nonsymmetric nonnegative matrices by their eigenvalues.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210804T07:00:00Z
DOI: 10.1142/S179355712250098X

 A generalized class of [math]convex functions with respect to nsymmetric
points
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Authors: A. Y. Lashin, F. Z. ElEmam
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate certain subclass of analytic functions on the open unit disc. This class generalizes the wellknown class of [math]convex functions with respect to nsymmetric points. Some interesting properties such as subordination results, containment relations, integral preserving properties, and the integral representation for functions in this class are obtained.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210804T07:00:00Z
DOI: 10.1142/S1793557122500991

 Coefficient bounds for certain families of biunivalent functions defined
by Wanas operator
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Authors: Abbas Karem Wanas, Aqeel Ketab AlKhafaji
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The main purpose of this paper is to find upper bounds for the second and third Taylor–Maclaurin coefficients for two families of holomorphic and biunivalent functions associated with Wanas operator. Further, we point out certain special cases for our results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210804T07:00:00Z
DOI: 10.1142/S1793557122501005

 On [math]dynamic chromatic number of some brick product graphs [math]

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Authors: T. Deepa, M. Venkatachalam, Ismail Naci Cangul
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
An [math]dynamic coloring of a graph [math] is a proper coloring [math] of the vertices such that [math] for each vertex [math]. The [math]dynamic chromatic number of a graph [math] is the minimum [math] such that [math] has an [math]dynamic coloring with [math] colors. In this paper, we obtain the [math]dynamic chromatic number of brick product graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210804T07:00:00Z
DOI: 10.1142/S1793557122501029

 Bézier variant of Bernstein–Durrmeyer blendingtype operators

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Authors: Chandra Prakash, Naokant Deo, D. K. Verma
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we construct the Bézier variant of the Bernstein–Durrmeyertype operators. First, we estimated the moments for these operators. In the next section, we found the rate of approximation of operators [math] using the Lipschitztype function and in terms of Ditzian–Totik modulus of continuity. The rate of convergence for functions having derivatives of bounded variation is discussed. Finally, the graphical representation of the theoretical results and the effectiveness of the defined operators are given.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210804T07:00:00Z
DOI: 10.1142/S1793557122501030

 Newton’s divided gHdifference interpolation formula with unequal
spacing for intervalvalued function using Hukuhara difference
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Authors: Bapin Mondal, Md Sadikur Rahman
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Interval interpolation formulae play a significant role to find the value of an unknown function at some points under interval uncertainty. The objective of this paper is to establish Newton’s divided interpolation formula for intervalvalued functions using generalized Hukuhara difference of intervals. For this purpose, arithmetic of intervals, Hukuhara difference and its some properties and concept of intervalvalued function have been discussed briefly. Using Hukuhara difference of intervals, the definition of Newton’s divided gHdifference for intervalvalued function has been introduced. Then Newton’s divided gHdifferences interpolation formula has been derived. Finally, with the help of some numerical examples, the proposed interpolation formula has been illustrated.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210726T07:00:00Z
DOI: 10.1142/S1793557122500930

 On the normalized Laplacian spectrum of the comaximal graphs

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Authors: Mojgan Afkhami
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a commutative ring with nonzero identity. The comaximal graph of [math], denoted by [math], is a simple graph with vertex set [math], and two distinct vertices [math] and [math] are adjacent if and only if [math]. Let [math] be an induced subgraph of [math] with nonunit elements of [math] as vertices. In this paper, we describe the normalized Laplacian spectrum of [math], and we determine it for some values of [math], where [math] is the ring of integers modulo [math]. Moreover, we investigate the normalized Laplacian energy and general Randic index of [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210726T07:00:00Z
DOI: 10.1142/S1793557122500942

 2Variable Fubinidegenerate Apostoltype polynomials

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Authors: Tabinda Nahid, Cheon Seoung Ryoo
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This work deals with the mathematical inspection of a hybrid family of the degenerate polynomials of the Apostoltype. The inclusion of the derivation of few series expansion formulas, explicit representations and difference equations for this hybrid family brings a novelty to the existing literature. Moreover, certain connection formulas and several novel identities for these polynomials are established and investigated. The graphical representations of certain degenerate polynomials are explored and several new interesting pattern of the zeros are observed.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210721T07:00:00Z
DOI: 10.1142/S1793557122500929

 Arithmetic progressions in finite groups

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Authors: Marius Tărnăuceanu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we describe the structure of finite groups whose element orders or proper (abelian) subgroup orders form an arithmetic progression of ratio [math]. This extends the case [math] studied in previous papers [R. Brandl and W. Shi, Finite groups whose element orders are consecutive integers, J. Algebra 143 (1991) 388–400; Y. Feng, Finite groups whose abelian subgroup orders are consecutive integers, J. Math. Res. Exp. 18 (1998) 503–506; W. Shi, Finite groups whose proper subgroup orders are consecutive integers, J. Math. Res. Exp. 14 (1994) 165–166].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210721T07:00:00Z
DOI: 10.1142/S1793557122500966

 On characterizing the complex Wishart distribution

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Authors: Imen Boutouria
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this research paper, we generalized the results of Ignacy in the multivariate case in order to characterize the complex Wishart distribution.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210717T07:00:00Z
DOI: 10.1142/S1793557122500851

 Existence of infinitely many solutions for fractional [math]Laplacian
Schrödinger–KirchhofType equations with general potentials
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Authors: Ghania Benhamida, Toufik Moussaoui
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we use the genus properties in critical point theory to prove the existence of infinitely many solutions for fractional [math]Laplacian equations of SchrödingerKirchhoff type.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210717T07:00:00Z
DOI: 10.1142/S1793557122500954

 Outerconnected open packing sets in graphs

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Authors: S. Saravanakumar, C. Gayathri
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A set [math] of a graph [math] is an [math] [math] [math] of [math] if no two vertices of [math] have a common neighbor in [math]. An open packing set [math] is called an outerconnected open packing set (ocopset) if either [math] or [math] is connected. The minimum and maximum cardinalities of an ocopset are called the lower outerconnected open packing number and the outerconnected open packing number, respectively, and are denoted by [math] and [math], respectively. In this paper, we initiate a study on these parameters.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210716T07:00:00Z
DOI: 10.1142/S1793557122500838

 A tensor product approach to compute 2nilpotent multiplier of
[math]groups
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Authors: F. Fasihi, S. Hadi Jafari
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a group given by a free presentation [math]. The 2nilpotent multiplier of [math] is the abelian group [math] which is invariant of [math] [R. Baer, Representations of groups as quotient groups, I, II, and III, Trans. Amer. Math. Soc. 58 (1945) 295–419]. An effective approach to compute the 2nilpotent multiplier of groups has been proposed by Burns and Ellis [On the nilpotent multipliers of a group, Math. Z. 226 (1997) 405–428], which is based on the nonabelian tensor product. We use this method to determine the explicit structure of [math], when [math] is a finite (generalized) extra special [math]group. Moreover, the descriptions of the triple tensor product [math], and the triple exterior product [math] are given.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210716T07:00:00Z
DOI: 10.1142/S1793557122500905

 On essential elements in a lattice and Goldie analogue theorem

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Authors: Tapatee Sahoo, Babushri Srinivas Kedukodi, Kar Ping Shum, Harikrishnan Panackal, Syam Prasad Kuncham
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We introduce the concept of essentiality in a lattice [math] with respect to an element [math]. We define notions such as [math]essential, [math]uniform elements and obtain some of their properties. Examples of lattices are given wherein essentiality can be retained with respect to an arbitrary element (specifically, there are elements in [math] which are [math]essential but not essential). We prove Goldie analogue results in terms of [math]uniform elements and [math]∨independent sets. Furthermore, we define a graph with respect to [math]essential element in a lattice and study its properties.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210716T07:00:00Z
DOI: 10.1142/S1793557122500917

 Periodicity of the solutions of general system of rational difference
equations related to fibonacci numbers
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Authors: Ibtissam Talha, Salim Badidja
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we deal with the periodicity of solutions of the following general system rational of difference equations: xn+1 =yn(xn−(p−1)+yn−p) yn−p+xn−(p−1)−yn, yn+1 =xn−(p−2)(xn−(p−2)+yn−(p−1)) 2xn−(p−2)+yn−(p−1) ,(0.1) where [math] [math] and the initial conditions are arbitrary nonzero real numbers.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210713T07:00:00Z
DOI: 10.1142/S1793557122500875

 The probability that a pair of group elements is 2Engel

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Authors: Raheleh Khoshtarash, Mohammad Reza R. Moghaddam, Mohammad Amin Rostamyari
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In 2016, the second and third authors introduced the notion of 2Engelizer of an element [math] in a given group [math] and the set of all such 2Engelizers in [math] denoted by [math]. In this paper, among other results, we construct some upper and lower bounds for the probability of randomly chosen a pair of elements of a finite group to be 2Engel.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210713T07:00:00Z
DOI: 10.1142/S1793557122500887

 Coefficient functionals and radius problems of certain starlike functions

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Authors: Adiba Naz, Sushil Kumar, V. Ravichandran
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Ma–Minda class (of starlike functions) consists of normalized analytic functions [math] defined on the unit disk for which the image of the function [math] is contained in some starlike region lying in the righthalf plane. In this paper, we obtain the best possible bounds on some initial coefficients for the inverse functions of Ma–Minda starlike functions. Further, the bounds on the Fekete–Szegö functional and the second Hankel determinant are computed for such functions. In addition, some sharp radius estimates are also determined.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210713T07:00:00Z
DOI: 10.1142/S1793557122500899

 Fréchetvalued meromorphic extension along a pencil of complex lines

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Authors: Lien Vuong Lam, Nguyen Van Dai
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The aim of paper is to find the condition under which a Fréchetvalued function [math] admitting meromorphic extension along some pencil of complex lines can be meromorphically extended to a neighborhood of [math] Some auxiliary results concerning the domains of existence for Fréchetvalued meromorphic functions, Rothstein’s theorem, Levi extension theorem for meromorphic functions with values in a locally complete space, convergence of formal power series of Fréchetvalued homogeneous polynomials are also proved in this work.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210708T07:00:00Z
DOI: 10.1142/S1793557122500863

 Twodimensional [math]Mellin transform and applications

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Authors: Pankaj Jain, Chandrani Basu, Vivek Panwar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we have introduced and studied twodimensional [math]Mellin transform which extends the known results of twodimensional [math]Mellin transform. We provide its several basic properties, the appropriate convolution, the inversion formula and the Parsevaltype relations. Some applications of [math]Mellin transform have been pointed out in solving integral equations. Finally, a Titchmarshtype theorem has been proved.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210706T07:00:00Z
DOI: 10.1142/S1793557122500814

 On split generalized mixed equilibrium and fixed point problems of an
infinite family of quasinonexpansive multivalued mappings in real
Hilbert spaces
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Authors: F. Akutsah, H. A. Abass, A. A. Mebawondu, O. K. Narain
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study split generalized mixed equilibrium problem and fixed point problem in real Hilbert spaces with a view to analyze an iterative method for approximating a common solution of split generalized mixed equilibrium problem and fixed point problem of an infinite family of a quasinonexpansive multivalued mappings. The iterative algorithm introduced in this paper is designed in such a way that it does not require the knowledge of the operator norm. We state and prove a strong convergence result of the aforementioned problems and also give application of our main result to split variational inequality problem. Our result complements and extends some related results in literature.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210706T07:00:00Z
DOI: 10.1142/S1793557122500826

 Max and Min matrices with hyperFibonacci numbers

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Authors: Tuğçe Solmaz, Mustafa Bahşi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study characteristic polynomials, determinants, inverses and Hadamard inverses of the Max and Min matrices with the hyperFibonacci numbers.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210706T07:00:00Z
DOI: 10.1142/S179355712250084X

 Unique range sets of meromorphic functions of noninteger finite order

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Authors: Bikash Chakraborty, Amit Kumar Pal, Sudip Saha, Jayanta Kamila
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper studies the uniqueness of two nonintegral finite ordered meromorphic functions with finitely many poles when they share two finite sets. Also, it provides an answer to a question posed by Gross for a particular class of meromorphic functions. Moreover, some observations are made on some results due to Sahoo and Karmakar, Acta Univ. Sapient. Math., doi:10.2478/ausm20180025; Sahoo and Sarkar, Bol. Soc. Mat. Mex., doi:10.1007/s40590019002604.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210702T07:00:00Z
DOI: 10.1142/S1793557122500760

 Some new common fixed point theorems for contractive selfmappings with
applications
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Authors: Youssef Touail, Driss El Moutawakil
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we first prove a new common fixed point in general topological spaces with a [math]distance. From this result, we establish two common fixed points for two new classes of contractive selfmappings in complete bounded metric spaces. Furthermore, an application to a system of differential equations and another to a system of functional equations arising in dynamic programming are given.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210702T07:00:00Z
DOI: 10.1142/S1793557122500802

 Star coloring under some graph operations

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Authors: B. Akhavan Mahdavi, M. Tavakoli, F. Rahbarnia, Alireza Ashrafi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A star coloring of a graph [math] is a proper coloring of [math] such that no path of length 3 in [math] is bicolored. In this paper, the star chromatic number of join of graphs is computed. Some sharp bounds for the star chromatic number of corona, lexicographic, deleted lexicographic and hierarchical product of graphs together with a conjecture on the star chromatic number of lexicographic product of graphs are also presented.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210629T07:00:00Z
DOI: 10.1142/S1793557122500796

 An iterative scheme for the oscillation criteria of a nonlinear delay
differential equation with several deviating arguments
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Authors: R. Basu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper deals with the oscillatory results of first order nonlinear delay differential equations with several deviating arguments by employing an iterative process. The results presented here has improved the outcomes of [1, 2, 8]. Various examples are solved in MATLAB software to illustrate the relevance of the main results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210625T07:00:00Z
DOI: 10.1142/S1793557122500711

 Revisiting graphical rectangular [math]metric spaces

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Authors: Mudasir Younis, Deepak Singh, Luoyi Shi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Very recently, the notion of graphical rectangular [math]metric spaces has been introduced, where the weight of the symmetric edges endowing the directed graph is defined in terms of the underlying metric. Due to its intimate relationship with the directed graphs, such spaces have a wide range of applications in science and engineering. In this paper, we rectify some errors that arose in the paper [Younis et al., A novel approach of graphical rectangular [math]metric spaces with an application to the vibrations of a vertical heavy hanging cable, J. Fixed Point Theory Appl. 21(1) (2019) 33]. We show that the main result of the paper described above can be modified, and we present the same in this note.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210625T07:00:00Z
DOI: 10.1142/S1793557122500723

 Inductive limits of quasi locally Baire spaces

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Authors: Thomas E. Gilsdorf
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Quasilocally complete locally convex spaces are generalized to quasilocally Baire locally convex spaces. It is shown that an inductive limit of strictly webbed spaces is regular if it is quasilocally Baire. This extends Qiu’s theorem on regularity. Additionally, if each step is strictly webbed and quasilocally Baire, then the inductive limit is quasilocally Baire if it is regular. Distinguishing examples are provided.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210625T07:00:00Z
DOI: 10.1142/S1793557122500747

 On [math]distance equitable chromatic number of some graphs

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Authors: Nagarjun Prabhu, Devadas Nayak C, Sabitha D’souza, Pradeep G. Bhat
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
An assignment of distinct colors [math] to the vertices [math] and [math] of a graph [math] such that the distance between [math] and [math] is at most [math] is called [math]distance coloring of [math]. Suppose [math] are the color classes of [math]distance coloring and [math] for any [math], then [math] is [math]distance equitable colored graph. In this paper, we obtain [math]distance chromatic number and [math]distance equitable chromatic number of graphs like [math], [math], [math] and [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210625T07:00:00Z
DOI: 10.1142/S1793557122500759

 Analysis of chaotic behavior of threedimensional dynamical systems by a
[math]spline differential quadrature algorithm
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Authors: Rajni Rohila, R. C. Mittal
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A novel approach based on cubic [math]spline functions has been developed to find solutions of threedimensional chaotic dynamical systems. Interesting dynamical behavior has been illustrated in figures. We observed that dynamical systems depend very sensitively on the initial condition and corresponding behavior has been captured in numerical simulations. The Butterfly effect is used in the development of weather prediction models and has been depicted graphically. This paper deals with the numerical solutions of Lorenz attractor, Chen, Genesio and a combination of Lorenz and Rossler attractors. The computed solutions are quite accurate, consistent and confirm that the cubic [math]spline differential quadrature is a very efficient method to portray complex dynamical behaviors of dynamical systems.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210625T07:00:00Z
DOI: 10.1142/S1793557122500772

 On the primitive irreducible representations of finitely generated linear
groups of finite rank
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Authors: A. V. Tushev
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In the paper, we study finitely generated linear groups of finite rank which have faithful irreducible primitive representations over a field of characteristic zero. We prove that if an infinite finitely generated linear group [math] of finite rank has a faithful irreducible primitive representation over a field of characteristic zero then the [math]center [math] of [math] is infinite.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210618T07:00:00Z
DOI: 10.1142/S1793557122500681

 A new hybrid conjugate gradient method of unconstrained optimization
methods
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Authors: Chenna Nasreddine, Sellami Badreddine, Belloufi Mohammed
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we present a new hybrid method to solve a nonlinear unconstrained optimization problem by using conjugate gradient, which is a convex combination of Liu–Storey (LS) conjugate gradient method and Hager–Zhang (HZ) conjugate gradient method. This method possesses the sufficient descent property with Strong Wolfe line search and the global convergence with the strong Wolfe line search. In the end of this paper, we illustrate our method by giving some numerical examples.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210618T07:00:00Z
DOI: 10.1142/S179355712250070X

 A new extension of RMalgebras

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Authors: Akbar Rezaei, Arsham Borumand Saeid
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the notion of a wRM/eRMalgebra as a generalization of a RMalgebra. These structures are studied in details. Also, we derived an eRMalgebra from a RMalgebra and vice versa. The concept of a positive implicative eRMalgebra is defined and we discussed on the medial filters.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210618T07:00:00Z
DOI: 10.1142/S1793557122500735

 On the distance signless Laplacian Estrada index of graphs

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Authors: Abdollah Alhevaz, Maryam Baghipur, Harishchandra Ramane, Xueliang Li
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The distance signless Laplacian eigenvalues [math] of a connected graph [math] are the eigenvalues of the distance signless Laplacian matrix of [math], defined as [math], where [math] is the distance matrix of [math] and [math] is the diagonal matrix of vertex transmissions of [math]. In this paper, we define and investigate the distance signless Laplacian Estrada index of a graph [math] as [math], and obtain some upper and lower bounds for [math] in terms of other graph invariants. We also obtain some relations between [math] and the auxiliary distance signless Laplacian energy of [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210618T07:00:00Z
DOI: 10.1142/S1793557122500784

 Maximum total irregularity index of some families of graph with maximum
degree [math]
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Authors: Shamaila Yousaf, Akhlaq Ahmad Bhatti
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The total irregularity index of a graph [math] is defined by Abdo et al. [H. Abdo, S. Brandt and D. Dimitrov, The total irregularity of a graph, Discrete Math. Theor. Comput. Sci. 16 (2014) 201–206] as [math], where [math] denotes the degree of a vertex [math]. In 2014, You et al. [L. H. You, J. S. Yang and Z. F. You, The maximal total irregularity of unicyclic graphs, Ars Comb. 114 (2014) 153–160.] characterized the graph having maximum [math] value among all elements of the class [math] (Unicyclic graphs) and Zhou et al. [L. H. You, J. S. Yang, Y. X. Zhu and Z. F. You, The maximal total irregularity of bicyclic graphs, J. Appl. Math. 2014 (2014) 785084, http://dx.doi.org/10.1155/2014/785084] characterized the graph having maximum [math] value among all elements of the class [math] (Bicyclic graphs). In this paper, we characterize the aforementioned graphs with an alternative but comparatively simple approach. Also, we characterized the graphs having maximum [math] value among the classes [math] (Tricyclic graphs), [math] (Tetracyclic graphs), [math] (Pentacyclic graphs) and [math] (Hexacyclic graphs).
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210614T07:00:00Z
DOI: 10.1142/S1793557122500693

 Simplicity of iterated Ore extensions

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Authors: Mamta Balodi, Sumit Kumar Upadhyay
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Here we study the simplicity of an iterated Ore extension of a unital ring [math]. We give necessary conditions for the simplicity of an iterated Ore extension when [math] is a commutative domain. A class of iterated Ore extensions, namely the differential polynomial ring [math] in [math]variables is considered. The conditions for a commutative domain [math] of characteristic zero to be a maximal commutative subring of its differential polynomial ring [math] are given, and the necessary and sufficient conditions for [math] to be simple are also found.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210603T07:00:00Z
DOI: 10.1142/S1793557122500528

 Comment on: “Biinterior ideals of semigroups”

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Authors: Niovi Kehayopulu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This is about the paper “Biinterior ideals of semigroups” by M. Murali Krishna Rao in Discuss. Math. Gen. Algebra Appl. 38 (2018) 69–78. According to Theorem 3.11 (also Theorem 3.3(8)) of the paper, the intersection of a biinterior ideal [math] of a semigroup [math] and a subsemigroup [math] of [math] is a biinterior ideal of [math]. Regarding to Theorem 3.6, every biinterior ideal of a regular semigroup is an ideal of [math]. We give an example that the above two results are not true for semigroups. According to the same paper, if [math] is a regular semigroup then, for every biinterior ideal [math], every ideal [math] and every left ideal [math] of [math], we have [math]. The proof is wrong, we provide the corrected proof. In most of the results of the paper the assumption of unity is not necessary. Care should be taken about the proofs in the paper.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210603T07:00:00Z
DOI: 10.1142/S1793557122500565

 Varieties of commutative semigroups closed under dominions

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Authors: A. H. Shah, Muneer Nabi, Sakeena Bano
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we find sufficient conditions for some commutative varieties of semigroups to be closed under dominions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210603T07:00:00Z
DOI: 10.1142/S1793557122500656

 Unit group of semisimple group algebras of some nonmetabelian groups of
order 120
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Authors: Gaurav Mittal, R. K. Sharma
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we give the characterization of the unit groups of semisimple group algebras of some nonmetabelian groups of order 120. This study completes the study of unit groups of semisimple group algebras of all groups up to order 120, except that of the symmetric group [math] and groups of order 96.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210531T07:00:00Z
DOI: 10.1142/S1793557122500590

 Differential subordinations for functions with positive real part using
admissibility conditions
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Authors: Meghna Sharma, Sushil Kumar, Naveen Kumar Jain
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Some sufficient conditions on certain constants which are involved in some first and secondorder differential subordinations associated with certain functions with positive real part like modified Sigmoid function, exponential function and Janowski function are obtained so that the analytic function [math] normalized by the condition [math], is subordinate to Janowski function. The admissibility conditions for Janowski function are used as a tool in the proof of the results. As application, several sufficient conditions are also computed for Janowski starlikeness.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210531T07:00:00Z
DOI: 10.1142/S1793557122500668

 Sharp upper bounds of Findex among bicyclic graphs

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Authors: R. Khoeilar, A. Jahanbani, L. Shahbazi, J. Rodríguez
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The [math]index of a graph [math], denoted by [math], is defined as the sum of weights [math] over all edges [math] of [math], where [math] denotes the degree of a vertex [math]. In this paper, we give sharp upper bounds of the [math]index (forgotten topological index) over bicyclic graphs, in terms of the order and maximum degree.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210528T07:00:00Z
DOI: 10.1142/S1793557122500553

 Expansion of weak reconstruction sequences to approximate Schauder frames
for Banach spaces
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Authors: K. Mahesh Krishna, P. Sam Johnson
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
It is known in Hilbert space frame theory that a Bessel sequence can be expanded to a frame. Contrary to Hilbert space situation, using a result of Casazza and Christensen, we show that there are Banach spaces and weak reconstruction sequences which cannot be expanded to approximate Schauder frames. We characterize Banach spaces in which one can expand weak reconstruction sequences to approximate Schauder frames.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210528T07:00:00Z
DOI: 10.1142/S1793557122500607

 Warped product bislant submanifolds of kenmotsu manifold

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Authors: Sampa Pahan
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we obtain several fundamental results of bislant submanifolds in a Kenmotsu manifold. Next, we give an example of such submanifolds. Later, we obtain some results of proper bislant submanifolds of a Kenmotsu manifold. Here, we show every warped product bislant submanifold of a Kenmotsu manifold to be a Riemannian product under some certain conditions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210528T07:00:00Z
DOI: 10.1142/S1793557122500619

 On a generalization of principal weak (po)flatness of [math]posets

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Authors: Hamideh Rashidi, Akbar Golchin, Hossein Mohammadzadeh Saany
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In [H. Rashidi, A. Golchin and H. Mohammadzadeh saany, On [math]flat acts, Categ. Gen. Algebr. Struct. Appl. 12(1) (2020) 175–197], the study of [math]flatness property of right acts [math] over a monoid [math] that can be described by means of when the functor [math]preserves some pullbacks is initiated. In this paper, we extend these results to [math]posets and present equivalent description of [math]poflatness of [math]posets. We show that [math]flatness does not imply torsion freeness in [math]posets and give some general properties and a characterization of pomonoids for which some other properties of their posets imply this condition.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210526T07:00:00Z
DOI: 10.1142/S1793557122500620

 Periodic shadowing in iterated function systems

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Authors: Ali Darabi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the notion of periodic shadowing property on iterated function systems, IFSs for short, and then some results will be obtained and compare with similar ones in the references. Among those results, we prove that every strongly expansive IFS with the shadowing property has the periodic shadowing property. In addition, like the shadowing property, we show that every uniformly expanding IFS has the periodic shadowing property. However, the periodic shadowing property is fulfilled for the uniformly contracting IFS provided that it is expansive.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210526T07:00:00Z
DOI: 10.1142/S1793557122500644

 Coupled fixed points theorems for generalized weak contractions in ordered
[math]metric spaces
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Authors: Karusala Kalyani, Namana Seshagiri Rao, Lakshmi Narayan Mishra
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we prove some fixed points, coupled coincidence point and coupled common fixed point results for mappings satisfying an almost generalized contraction conditions in partially ordered [math]metric spaces. These results generalize, extend and unify many comparable results in the existing literature. Few examples are given to support our results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210525T07:00:00Z
DOI: 10.1142/S1793557122500504

 On the alternating sums of reciprocal generalized Fibonacci numbers

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Authors: Yücel Türker Ulutaş, Gökhan Kuzuoğlu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we consider finite alternating sums derived from the generalized Fibonacci numbers [math] [math] and [math], where [math] and [math] are positive integers with [math], [math]. Applying the greatest integer function to these sums, we obtain some equalities involving the generalized Fibonacci numbers.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210525T07:00:00Z
DOI: 10.1142/S179355712250053X

 Some Properties of [math][math][math]derivations of Leibniz algebras

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Authors: G. R. Biyogmam, C. Tcheka, D. A. Kamgam
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The concepts of [math]derivations and [math]central derivations have been recently presented in [G. R. Biyogmam and J. M. Casas, [math]central derivations, [math]centroids and [math]stem Leibniz algebras, Publ. Math. Debrecen 97(1–2) (2020) 217–239]. This paper studies the notions of [math][math]derivation and [math][math]central derivation on Leibniz algebras as generalizations of these concepts. It is shown that under some conditions, [math][math]central derivations of a nonLieLeibniz algebra [math] coincide with [math][math][math]derivations, that is, [math][math]derivations in which the image is contained in the [math]th term of the lower [math]central series of [math] and vanishes on the upper [math]central series of [math] We prove some properties of these [math][math][math]derivations. In particular, it is shown that the Lie algebra structure of the set of [math][math][math]derivations is preserved under [math][math]isoclinism.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210525T07:00:00Z
DOI: 10.1142/S1793557122500541

 On the large rank of certain semigroups of transformations on a finite
chain
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Authors: Jitender Kumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The large rank of a finite semigroup [math] is the least number [math] such that every subset of [math] with [math] elements generates [math]. This paper obtains the large ranks of [math] and [math], the semigroups of singular transformations, injective partial and partial transformations on a finite chain [math], which preserve or reverse the order, respectively. As a consequence, we obtain the large ranks of [math] and [math], the semigroups of injective orderpreserving partial transformations and orderpreserving partial transformations on [math], respectively.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210525T07:00:00Z
DOI: 10.1142/S1793557122500589

 Derivation algebra of semidirect sum of Lie algebras

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Authors: Mohammad Reza Alemi, Farshid Saeedi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] and [math] be two Lie algebras over an arbitrary field [math], and let [math] be the semidirect sum of [math] by [math]. In this paper, we give the structure of derivation algebra of [math]; then as a consequence we illustrate the structure and dimension derivation algebra of Heisenberg Lie algebras.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210524T07:00:00Z
DOI: 10.1142/S1793557122500632

 Peg solitaire on graphs with large maximum degree

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Authors: Naoki Matsumoto
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In 2011, Beeler and Hoilman introduced the peg solitaire on graphs. The peg solitaire on a connected graph is a oneplayer combinatorial game starting with exactly one hole in a vertex and pegs in all other vertices and removing all pegs but exactly one by a sequence of jumps; for a path [math], if there are pegs in [math] and [math] and exists a hole in [math], then [math] can jump over [math] into [math], and after that, the peg in [math] is removed. A problem of interest in the game is to characterize solvable (respectively, freely solvable) graphs, where a graph is solvable (respectively, freely solvable) if for some (respectively, any) vertex [math], starting with a hole [math], a terminal state consisting of a single peg can be obtained from the starting state by a sequence of jumps. In this paper, we consider the peg solitaire on graphs with large maximum degree. In particular, we show the necessary and sufficient condition for a graph with large maximum degree to be solvable in terms of the number of pendant vertices adjacent to a vertex of maximum degree. It is a notable point that this paper deals with a question of Beeler and Walvoort whether a nonsolvable condition of trees can be extended to other graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210520T07:00:00Z
DOI: 10.1142/S1793557122500577

 A note on class sizes of vanishing elements in finite groups

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Authors: Qingjun Kong, Shi Chen
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] and [math] be normal subgroups of a finite group [math]. We obtain th supersolvability of a factorized group [math], given that the conjugacy class sizes of vanishing elements of primepower order in [math] and [math] are squarefree.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210520T07:00:00Z
DOI: 10.1142/S179355712250067X

 Numerical solution of fractional differential equations using fractional
Chebyshev polynomials
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Authors: Yalçın Öztürk, Mutlu Ünal
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, fractional order Chebyshev polynomials are presented and some properties are given. Using definition of fractional order Chebyshev polynomials, we give a numerical scheme for solving fractional differential equation by the collocation method. The Collocation method converts the given fractional differential equation into a matrix equation, which yields a linear algebraic system. Bagley–Torvik equation and fractional relaxationoscillation equation are solved to show the effectiveness of the given method. This method is compared with some known schemes.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210508T07:00:00Z
DOI: 10.1142/S1793557122500486

 Multiple solutions for [math]Laplace problems without the
Ambrosetti–Rabinowitz condition
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Authors: Duong Trong Luyen
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study the existence of multiple solutions for the boundary value problem −Δγu = λu + f(x,u)in Ω,u = 0 on ∂Ω, where [math] is a bounded domain with smooth boundary in [math], nonlinearity [math] is subcritical growth and does not satisfy the Ambrosetti–Rabinowitz (AR) condition and [math] is the subelliptic operator of the type Δγ :=∑j=1N∂ xj(γj2∂ xj),∂xj := ∂ ∂xj,γ = (γ1,γ2,…,γN). We use variational methods (Mountain pass theorem and Ekeland variational principle).
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210508T07:00:00Z
DOI: 10.1142/S1793557122500516

 On a class of separable modules

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Authors: Rachid Echchaouy, Abdelouahab Idelhadj, Rachid Tribak
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A module [math] is called [math]separable if every proper finitely generated submodule of [math] is contained in a proper finitely generated direct summand of [math]. Indecomposable [math]separable modules are shown to be exactly the simple modules. While direct summands of an [math]separable module do not inherit the property, in general, the question of the stability under direct sums is unanswered. But we obtain some partial answers. It is shown that any infinite direct sum of [math]separable modules is [math]separable. Also, we prove that if [math] and [math] are [math]separable modules such that [math] is [math]projective, then [math] is [math]separable. We conclude the paper by providing some characterizations of several classes of rings in terms of [math]separable modules. Among others, we prove that the class of rings [math] for which every (injective) [math]module is [math]separable is exactly that of semisimple rings.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210505T07:00:00Z
DOI: 10.1142/S1793557122500346

 Hermitian–Toeplitz and Hankel determinants for certain starlike
functions
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Authors: Nak Eun Cho, Sushil Kumar, Virendra Kumar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The sharp lower and upper estimates on the second and thirdorder Hermitian–Toeplitz determinants for the classes of starlike functions associated with the modified sigmoid function and a related function, whose Taylor coefficients are the Bell numbers, are investigated. Further, the third and fourth Hankel determinants for these classes are also estimated.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210505T07:00:00Z
DOI: 10.1142/S1793557122500425

 ∗Conformal [math]Ricci soliton on Sasakian manifold

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Authors: Soumendu Roy, Santu Dey, Arindam Bhattacharyya, Shyamal Kumar Hui
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we study ∗Conformal [math]Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting ∗Conformal [math]Ricci soliton. We obtain some significant results on ∗Conformal [math]Ricci soliton in Sasakian manifolds satisfying [math], [math], [math] [math], where [math] is Pseudoprojective curvature tensor. The conditions for ∗Conformal [math]Ricci soliton on [math]conharmonically flat and [math]projectively flat Sasakian manifolds have been obtained in this paper. Lastly we give an example of fivedimensional Sasakian manifolds satisfying ∗Conformal [math]Ricci soliton.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500358

 Some norm and operator inequalities to improved AMGM inequality with
Specht’s ratio
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Authors: Elham Nikzat, Mohsen Erfanian Omidvar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we present a refinement of the wellknown arithmeticgeometric mean inequality. As application of our result, we obtain an operator inequality. We give an improvement of the inequality presented by Kittaneh for the numerical radius.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S179355712250036X

 New encryption scheme using kFibonaccilike sequence

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Authors: Saida Lagheliel, Abdelhakim Chillali, Ahmed Ait Mokhtar
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we present a new encryption scheme using generalization kFibonaccilike sequence, we code the points of an elliptic curve with the terms of a sequence of kFibonaccilike using of Fibonacci sequence and we call it as kFibonacci like sequence [math] defined by the recurrence relation: Vk,n+1 = kVk,n + Vk,n−1; n ≥ 1,Vk,0 = 2m(k + 1),Vk,1 = pk + k(k + 1)m(1) and we present some relation among kFibonacci like sequence, kFibonacci sequence and kLucas sequence. After that, we give application of elliptic curves in cryptography using kFibonacci like sequence.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500371

 Semigroups of an inductive composition of terms

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Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The set of all [math]ary terms of type [math] together with a binary operation derived from a superposition [math] forms various forms of semigroups. One may generalize such binary operation by deriving it from an inductive composition of terms and call it an inductive product. However, this operation is not associative on the same base set but it becomes associative when all elements of subterms of a fixed term used in an inductive product except itself are excluded from the base set. Hence, a semigroup is formed. In this paper, we mainly focus on the algebraic structures of this semigroup such as idempotent elements, elements associating with each type of regularity condition, and Green’s relations. The formulae of complexity of inducted terms are also under investigation.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500383

 Distance Laplacian spectra of joined union of graphs

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Authors: Somnath Paul
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The distance Laplacian matrix of a simple connected graph [math] is defined as [math], where [math] is the distance matrix of [math] and [math] is the diagonal matrix whose main diagonal entries are the vertex transmissions in [math] In this paper, we determine the distance Laplacian spectra of the graphs obtained by generalization of the join and lexicographic product of graphs (namely joined union). It is shown that the distance Laplacian spectra of these graphs not only depend on the distance Laplacian spectra of the participating graphs but also depend on the spectrum of another matrix of vertexweighted Laplacian kind (analogous to the definition given by Chung and Langlands [A combinatorial Laplacian with vertex weights, J. Combin. Theory Ser. A 75 (1996) 316–327]).
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500395

 A new family of generalized quadrature methods for solving nonlinear
equations
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Authors: CheinShan Liu, TsungLin Lee
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Weerakoon and Fernando [A variant of Newton’s method with accelerated thirdorder convergence, Appl. Math. Lett. 13 (2000) 87–93] were resorted on a trapezoidal quadrature rule to derive an arithmetic mean Newton method with thirdorder convergence of the iterative scheme to solve nonlinear equations. Different quadrature methods have been developed, which form a special class of thirdorder iterative schemes requiring three evaluations of functions on [math] per iteration, where [math] is generated from the first Newton step. As an extension of these methods, we derive a new family of iterative schemes by using a new weight function [math] to generalize the quadrature methods, of which [math] signifies an approximate area under the curve [math] between [math] and [math]. Then, a generalization of the midpoint Newton method is obtained by using another weight function, which is based on three evaluations of functions on [math] per iteration. The sufficient conditions of these two weight functions are derived, which guarantee that the convergence order of the proposed iterative schemes is three.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500449

 Inertial manifolds for functional differential equations with infinite
delay
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Authors: Anh Minh Le
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we consider a class of functional differential equations with infinite delay in a real separable Hilbert space. By using the Lyapunov–Perron method, we prove the existence of inertial manifolds for mild solutions. The obtained results can be applied to Lotka–Volterra diffusion models with infinite delay.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500450

 Elliptic curves over a nonlocal ring [math]

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Authors: Abdelhamid Tadmori, Abdelhakim Chillali, M’hamed Ziane
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this work, we came to present the elliptic curves over a nonlocal ring [math] where [math] is a finite field of characteristic 2, and [math] is a prime integer. We consider an elliptic curve given by the Weierstrass equation of the form Y2 + XY Z = X3 + aX2Z + bZ3, such that [math] are in the ring [math] and b is invertible in [math] see Tadmori et al. [Normal form of the elliptic curves over the finite ring, J. Math. Syst. Sci. 4 (2014) 194–196]. More precisely, we give a classification of elements of the elliptic curve over this ring, and we construct the group law over it, which allows us to prove same properties of the elliptic group [math] by showing the isomorphism [math]
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500462

 A numerical range characterization of unitary matrices over a finite field

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Authors: E. Ballico
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a prime power, [math], and let [math] be an [math] matrix over [math]. We prove that the numerical range of [math] and [math] is the same for every rank [math] matrix [math] if and only if [math] is a multiple of a unitary matrix. The corresponding result for complex matrices was proved by Chien, Gau, Li, Tsai and Wang [Products of operators and numerical range, Linear Multilinear Algebra 64(1) (2016) 58–67].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210429T07:00:00Z
DOI: 10.1142/S1793557122500498

 On the twosided perplectic singular value decomposition and
perplectically diagonalizable matrices
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Authors: Ralph John de la Cruz
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Necessary and sufficient conditions for a square matrix [math] to be written as [math], where [math] is a diagonal matrix, and [math] and [math] are isometries of either the Minkowski indefinite inner product or the Symplectic scalar product, are known. We give the analogue of the preceding decomposition to the perplectic scalar product [math], where [math] is the backward identity matrix. We also give a perplectic analogue of the Takagi factorization for symmetric matrices. As a related result, we give necessary and sufficient conditions for a perplectic matrix to be diagonalizable by a perplectic matrix, and we show that every perplectic matrix is a product of perplectic matrices which are diagonalizable by a perplectic matrix.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210426T07:00:00Z
DOI: 10.1142/S1793557122500474

 On the Zagreb matrix and Zagreb energy

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Authors: Akbar Jahanbani, Rana Khoeilar, Hajar Shooshtari
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a graph of order [math], and [math] be the degree of vertex [math] in a graph [math]. The Zagreb matrix of [math] is the square matrix of order [math] whose [math]entry is equal to [math] if the vertex [math] and the vertex [math] of [math] are adjacent, and [math] otherwise. This matrix, related closely to the Zagreb (abbreviated as [math]) index. The Zagreb eigenvalues of [math] are the eigenvalues of its [math] matrix and the Zagreb energy of [math] is the sum of the absolute values of its Zagreb eigenvalues. In this paper, we obtain some new results for the eigenvalues of the Zagreb matrix, the spread of the Zagreb matrix. Moreover, we obtain some new bounds for the Zagreb energy of a graph.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S179355712250019X

 Certain congruences on free [math]dimonoids

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Authors: Anatolii V. Zhuchok
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Loday introduced the notions of a dimonoid and a dialgebra, and constructed the free dimonoid and the free dialgebra. The [math]dimonoids are a natural generalization of dimonoids and every [math]dialgebra with associative operations is a linear analog of a [math]dimonoid. This paper is devoted to the study of congruences on [math]dimonoids. We characterize the least dimonoid congruence and the least semigroup congruence on the free (commutative, [math]nilpotent) [math]dimonoid. The obtained results can be applied to the theory of [math]dialgebras with associative operations.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500218

 Detour polynomials of vertex coalenscence and bridges coalenscence graphs

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Authors: Haveen J. Ahmed, Ahmed M. Ali, Gashaw A. Mohammed Saleh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The length of a longest [math] path in a connected graph [math] is called detour distance and denoted by [math], where the vertices [math] and [math] belong to the vertex set [math]. In this paper, we find detour polynomial and detour index of [math] connected vertex disjoint graphs, for [math] by the vertices identified and edges introducing with isolated vertex. Also, we find detour polynomial and detour index for some compound graphs from special graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500255

 Some algebraic and analytic properties of generalized tribonacci and
generalized tribonacciLucas like polynomials
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Authors: Salim Badidja, Abdeldjabar Hamdi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this study, we give another formula to all the generalized tribonacci [math] and generalized tribonacciLucas [math] polynomials by using the combinatorial calculus and their sum. Then, we give the explicit formula of partial derivative of such polynomials [math], [math] with respect to one of those variables and describe some properties.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500280

 Form of the periodic solutions of some systems of higher order difference
equations
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Authors: Melih Göcen, Adem Cebeci
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate the periodic nature of the solutions of some systems of rational difference equations where the initial values are arbitrary real numbers such that the denominator is always nonzero. Furthermore, some numerical examples are presented to verify our theoretical results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500292

 A note on pebbling bound for a product of Class [math] graphs

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Authors: Nopparat Pleanmani, Somnuek Worawiset
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a connected graph. For a configuration of pebbles on the vertices of [math], a pebbling move on [math] is the process of taking two pebbles from a vertex and adding one of them on an adjacent vertex. The pebbling number of [math], denoted by [math], is the least number of pebbles to guarantee that for any configuration of pebbles on [math] and arbitrary vertex [math], there is a sequence of pebbling movement that places at least one pebble on [math]. The graph [math] is said to be of Class 0 if its pebbling number equals its order. For a Class [math] connected graph [math], we improve a recent upper bound for [math] in terms of [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500310

 On automorphisms of monotone transformation posemigroups

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Authors: Dilawar Juneed Mir, Aftab Hussain Shah, Shabir Ahmad Ahanger
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we provide a simple generalization of results of Sullivan for [math] the full transformation monotone pomonoid and for [math] the partial transformation monotone pomonoid by showing that every automorphism of [math] and [math] is inner induced by the elements of [math] the pogroup of all ordered bijections on [math]. We also show that [math] is isomorphic to [math]. Finally, we apply these results to get some more results in this direction.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500322

 Fundamental relations on hyper bimodules and characterizations of
complete hyper bimodules
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Authors: M. Nooranian, B. Davvaz
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A hyper bimodule is a commutative hypergroup that is both a left and a right hypermodule, such that the left and the right multiplications are compatible. We define the fundamental relation on an [math]hyper bimodule, where [math] and [math] are hyperrings and the left and the right multiplications are compatible. Also, we state some conditions that are equivalent to the transitivity of this relation and finally we characterize the complete [math]hyper bimodules.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500401

 Extermal forgotten topological index of quasiunicyclic graphs

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Authors: Amir Taghi Karimi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The forgotten topological index of a graph [math], denoted by [math], is defined as the sum of weights [math] overall edges [math] of [math], where [math] denotes the degree of a vertex [math]. The graph [math] is called a quasiunicyclic graph if there exists a vertex [math] such that [math] is a connected graph with a unique cycle. In this paper, we give sharp upper and lower bounds for the Findex (forgotten topological index) of the quasiunicyclic graphs.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500413

 Density in partial semigroups

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Authors: Arpita Ghosh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This short note deals with a result in partial semigroups. We introduce a notion of density in partial semigroups and verify that under a certain condition on a partial semigroup [math] this density of a central set in [math] is positive and also, the density of a [math]thick subset of [math] is always a unit.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210420T07:00:00Z
DOI: 10.1142/S1793557122500437

 Radius of starlikeness for some classes containing nonunivalent functions

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Authors: Shalu Yadav, Kanika Sharma, V. Ravichandran
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A starlike univalent function [math] is characterized by [math]; several subclasses of starlike functions were studied in the past by restricting [math] to take values in a region [math] on the righthalf plane, or, equivalently, by requiring [math] to be subordinate to the corresponding mapping of the unit disk [math] to the region [math]. The mappings [math], [math], defined by [math] and [math] map the unit disk [math] to certain nice regions in the righthalf plane. For normalized analytic functions [math] with [math] and [math] are subordinate to the function [math] for some analytic functions [math] and [math], we determine the sharp radius for them to belong to various subclasses of starlike functions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210414T07:00:00Z
DOI: 10.1142/S1793557122500097

 Degree of approximation of Fourier series of functions in Besov space by
deferred Nörlund mean
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Authors: Birupakhya Prasad Padhy, Laxmipriya Nayak
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In the present paper, we estimate the rate of convergence of Fourier series of functions by Deferred Nörlund mean in Besov space which is a generalization of [math] space.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210414T07:00:00Z
DOI: 10.1142/S1793557122500334

 Hadamard integral inequality for the class of semiharmonically convex
functions
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Authors: Hamid Vosoughian
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of right semiharmonically [math]convex, (RHS [math]convex) function by the inequality f(γx,y(t)) ≤ 1 η 1 f(x) , 1 f(y)(t) and also left semiharmonically [math]convex, (LHS [math]convex) f 1 γ1 y,1 x(t) ≤ ηf(y),f(x)(t) where [math] and [math] are two geodesic arcs. Then, we will find some refinements of Hadamard integral inequality for semiharmonically [math]convex functions in the case of Sugeno and Lebesque integral.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210413T07:00:00Z
DOI: 10.1142/S1793557122500206

 The structure of split regular HomLeibniz–Poisson color algebras

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Authors: Valiollah khalili
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce the class of split regular HomLeibniz–Poisson color algebras as the natural generalization of split regular HomLeibniz algebras, split regular HomPoisson algebras and split regular HomLeibniz–Poisson superalgebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular HomLeibniz–Poisson color algebra [math] is of the form [math], with [math] a subspace of the abelian sub algebra [math] and any [math] a welldescribed ideal of [math], satisfying [math] if [math] Under certain conditions, in the case of [math] being of maximal length, the simplicity and the primeness of the algebra is characterized and it is shown that [math] is the direct sum of the family of its minimal ideals, each one being a simple split regular HomLeibniz–Poisson color algebra.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210413T07:00:00Z
DOI: 10.1142/S1793557122500231

 The congruence [math] on quasi completely regular semirings

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Authors: S. K. Maity, R. Ghosh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A semiring [math] is said to be a quasiorthodox semiring if for any [math], there exists some positive integer [math] such that [math]. In this paper, we investigate the congruence generated by [math] on quasi completely regular semirings with and without the special conditions like being quasiorthodox. We further establish that the interval which [math] belongs to is [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210413T07:00:00Z
DOI: 10.1142/S1793557122500243

 Graph products and eccentric harmonic index

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Authors: Mahdieh Azari
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
A graph invariant is any function on a graph that does not depend on a labeling of its vertices. One of the best known graph invariants successfully applied in chemical graph theory over the last decade is the harmonic index. It is defined for a graph [math] as the sum of the terms [math] over all edges [math] of [math], where [math] and [math] denote the degrees of the vertices [math] and [math] in [math], respectively. The eccentric version of harmonic index has recently been proposed in an analogous way by replacing the vertex degrees with the vertex eccentricities. One of the main topics in chemical graph theory is to study how certain invariants of product graphs are related to the corresponding invariants of their components. Due to this, we investigate here the behavior of the eccentric version of harmonic index under various families of graph products and apply the derived results on some graphs of chemical and general interest.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210413T07:00:00Z
DOI: 10.1142/S1793557122500279

 On existence and approximation of common fixed points in [math]metric
spaces
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Authors: D. Ramesh Kumar, M. Prabavathy, S. Radenović
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The purpose of this paper is to establish the uniqueness and existence of the common fixed point under generalized contractive conditions in [math]metric spaces with supportive examples. We also approximate the common fixed point by Jungck–Picard and Picard iteration procedures along with the [math] property of the mappings. Further, [math]stability of Jungck–Picard iterative and [math]stability of Picard iterative schemes are proved.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210413T07:00:00Z
DOI: 10.1142/S1793557122500309

 Existence and global exponential stability of equilibrium for impulsive
neural network models with generalized piecewise constant delay
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Authors: KuoShou Chiu
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we investigate the models of the impulsive cellular neural network with generalized constant piecewise delay (IDEGPCD). To guarantee the existence, uniqueness and global exponential stability of the equilibrium state, several new adequate conditions are obtained, which extend the results of the previous literature. The method is based on utilizing Banach’s fixed point theorem and a new IDEGPCD’s Gronwall inequality. The criteria given are easy to check and when the impulsive effects do not affect, the results can be extracted from those of the nonimpulsive systems. Typical numerical simulation examples are used to show the validity and effectiveness of the proposed results. We end the paper with a brief conclusion.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500012

 A new algorithm for finding fixed points of Bregman asymptotically regular
quasinonexpansive mapping and solutions of equilibrium problems
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Authors: R. Lotfikar, G. Zamani Eskandani
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we propose a new algorithm for finding a common element of the set of fixed points of Bregman asymptotically regular quasinonexpansive mappings and the set of zeros of maximal monotone mappings and the set of solutions of equilibrium problems for pseudomonotone and Bregman Lipschitztype continuous bifunctions in reflexive Banach spaces. Moreover, the strong convergence of the sequence generated by this algorithm is established under some suitable conditions.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500048

 Generalized bounds for sine and cosine functions

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Authors: Yogesh J. Bagul, Christophe Chesnea
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we propose several new lower and upper bounds for the functions [math] and [math] In particular, we refine by generalizing some known inequalities involving these functions. To attain this aim, monotonicity rules and ratio of consecutive even indexed Bernoulli numbers play an important role. Graphic evidence of the results is provided.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500127

 On the Hyers–Ulam stability and hyperstability of a generalized
quadratic functional equation in [math]Banach spaces
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Authors: Nordine Bounader
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we establish some Hyers–Ulam stability and hyperstability results of the following functional equation ∑ψ∈Kn−1f(ψ(x1,x2,…,xn)) = 2n−1∑ i=1nf(x i) in the class of functions from an abelian group [math] into a [math]Banach space.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500139

 Tense De Morgan [math]algebras

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Authors: Cecilia Segura
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In [Tense operators on De Morgan algebras, Log. J. IGPL 22(2) (2014) 255–267], Figallo and Pelaitay introduced the notion of tense operators on De Morgan algebras. Also, other notions of tense operators on De Morgan algebras were given by Chajda and Paseka in [De Morgan algebras with tense operators, J. Mult.Valued Logic Soft Comput. 1 (2017) 29–45; The Posetbased logics for the De Morgan negation and set representation of partial dynamic De Morgan algebras, J. Mult.Valued Logic Soft Comput. 31(3) (2018) 213–237; Set representation of partial dynamic De Morgan algebras, in 2016 IEEE 46th Int. Symp. MultipleValued Logic (IEEE Computer Society, 2016), pp. 119–124]. In this paper, we introduce a new notion of tense operators on De Morgan algebras and define the class of tense De Morgan [math]algebras. The main purpose of this paper is to give a discrete duality for tense De Morgan [math]algebras. To do this, we will extend the discrete duality given in [W. Dzik, E. Orłowska and C. van Alten, Relational Representation Theorems for Lattices with Negations: A Survey, Lecture Notes in Computer Science (2006), pp. 245–266], for De Morgan algebras.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500140

 Finite groups with generalized subnormal and generalized permutable
subgroups
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Authors: Viktoria S. Zakrevskaya
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be a finite group and [math] a subgroup of [math]. We say that [math] is strongly[math]subnormal in [math] if either [math] is normal in [math] or [math] and every chief factor of [math] between [math] and [math] is cyclic; strongly[math]permutable in [math] if [math] permutes with all Hall [math]’subgroups and with all Sylow [math] subgroups of [math] for all [math]; partially[math]subnormal in [math] if [math], where [math] is a strongly [math]subnormal subgroup and [math] is a [math]subnormal subgroup of [math]. In this paper, we study finite groups whose 3maximal or 2maximal subgroups are partially [math]subnormal (strongly [math]permutable).
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500164

 On strong pseudoamenability of some Banach algebras

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Authors: Amir Sahami
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we introduce a new notion of strong pseudoamenability for Banach algebras. We study strong pseudoamenability of some matrix algebras. Using this tool, we characterize strong pseudoamenability of [math], provided that [math] is a uniformly locally finite inverse semigroup. As an application, we show that for a Brandt semigroup [math], [math] is strong pseudoamenable if and only if [math] is amenable and [math] is finite. We give some examples to show the differences between strong pseudoamenability and the other classical notions of amenability.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S1793557122500188

 Solving the multiobjective stochastic intervalvalued linear fractional
integer programming problem
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Authors: Leila YounsiAbbaci, Mustapha Moulaï
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we consider a MultiObjective Stochastic IntervalValued Linear Fractional Integer Programming problem (MOSIVLFIP). We especially deal with a multiobjective stochastic fractional problem involving an inequality type of constraints, where all quantities on the right side are lognormal random variables, and the objective functions coefficients are fractional intervals. The proposed solving procedure is divided in three steps. In the first one, the probabilistic constraints are converted into deterministic ones by using the chance constrained programming technique. Then, the second step consists of transforming the studied problem objectives on an optimization problem with an intervalvalued objective functions. Finally, by introducing the concept of weighted sum method, the equivalent converted problem obtained from the two first steps is transformed into a single objective deterministic fractional problem. The effectiveness of the proposed procedure is illustrated through a numerical example.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210408T07:00:00Z
DOI: 10.1142/S179355712250022X

 Laplacian spectra of power graphs of certain primepower Abelian groups

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Authors: Shubh N. Singh
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The power graph [math] of a semigroup [math] is a simple undirected graph whose vertex set is [math] itself, and any two distinct vertices are adjacent if one of them is a power of the other. In this paper, we describe the power graph [math] in terms of joins and disjoint unions of complete graphs, and use this to calculate the Laplacian polynomial of [math]. We finally calculate the Laplacian polynomial of the power graph [math].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210406T07:00:00Z
DOI: 10.1142/S1793557122500267

 Modeling and optimal control analysis of malaria epidemic in the presence
of temperature variability
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Authors: Temesgen Duressa Keno, Legesse Lemecha Obsu, Oluwole Daniel Makinde
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we propose and analyze a nonlinear deterministic malaria disease model for the impact of temperature variability on malaria epidemics. Firstly, we analyzed the invariant region and the positivity solution of the model. The basic reproduction number with respect to disease freeequilibrium is calculated by the nextgeneration matrix method. The local stability and global stability of the equilibrium points are shown using the Routh–Hurwitz criterion and the Lyapunov function, respectively. A diseasefree equilibrium point is globally asymptotically stable if the basic reproduction number is less than one and endemic equilibrium exists otherwise. Moreover, we have shown the sensitivity analysis of the basic reproduction number and the model exhibits forward and backward bifurcation. Secondly, we apply the optimal control theory to describe the model with incorporates three controls, namely using treated bed nets, treatment of infected with antimalaria drugs and for vector killing using insecticide spray strategy. Pontraygin’s maximum principle is introduced to obtain the necessary condition for the optimal control problem. Finally, the simulation result of optimal control problem and analysis of costeffectiveness show that a combination of using treated bed nets and treatment is the most effective and leastcost strategy to prevent the malaria disease.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210401T07:00:00Z
DOI: 10.1142/S179355712250005X

 HomLeibniz 2algebras

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Authors: Chunyue Wang, Zhu Wei, Qingcheng Zhang
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
We define a HomLeibniz 2algebra, which can be considered as the deformation and categorification of Leibniz algebras. We give the notion of 2term strongly homotopy (sh) HomLeibniz algebras. We prove that the 2term sh HomLeibniz algebras are equivalent to the HomLeibniz 2algebras. We show that there exists a onetoone correspondence between crossed modules of HomLeibniz algebras and 2term Homdifferential graded Leibniz algebras. We also prove that the skeletal 2term sh HomLeibniz algebras can be classified by using the third cohomology group of HomLeibniz algebras. We construct a HomLeibniz 2algebra from an OmniHomLie 2algebra. Moreover, we also give the construction of HomLeibniz 2algebras from Homassociative Rota–Baxter algebras.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210331T07:00:00Z
DOI: 10.1142/S1793557122500152

 Number of rational points of elliptic curves

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Authors: Viliam Ďuriš, Timotej Šumný
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In the modern theory of elliptic curves, one of the important problems is the determination of the number of rational points on an elliptic curve. The Mordel–Weil theorem [T. Shioda, On the Mordell–Weil lattices, Comment. Math. University St. Paul. 39(2) (1990) 211–240] points out that the elliptic curve defined above the rational points is generated by a finite group. Despite the knowledge that an elliptic curve has a final number of rational points, it is still difficult to determine their number and the way how to determine them. The greatest progress was achieved by Birch and Swinnerton–Dyer conjecture, which was included in the Millennium Prize Problems [A. Wiles, The Birch and Swinnerton–Dyer conjecture, The Millennium Prize Problems (American Mathematical Society, 2006), pp. 31–44]. This conjecture uses methods of the analytical theory of numbers, while the current knowledge corresponds to the assumptions of the conjecture but has not been proven to date. In this paper, we focus on using a tangent line and the osculating circle for characterizing the rational points of the elliptical curve, which is the greatest benefit of the contribution. We use a different view of elliptic curves by using Minkowki’s theory of number geometry [H. F. Blichfeldt, A new principle in the geometry of numbers, with some applications, Trans. Amer. Math. Soc. 15(3) (1914) 227–235; V. S. Miller, Use of elliptic curves in cryptography, in Proc. Advances in Cryptology — CRYPTO ’85, Lecture Notes in Computer Science, Vol. 218 (Springer, Berlin, Heidelberg, 1985), pp. 417–426; E. Bombieri and W. Gubler, Heights in Diophantine Geometry, Vol. 670, 1st edn. (Cambridge University Press, 2007)].
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210331T07:00:00Z
DOI: 10.1142/S1793557122500176

 The numerical method for solving Volterra–Fredholm integrodifferential
equations of the second kind based on the meshless method
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Authors: Morteza Asgari, Ali Mesforush, Alireza Nazemi
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
This paper explains a numerical scheme based on the moving least squares (MLS) method to solve VolterraFredholm integrodifferential equations in onedimensional space. The method is a meshless method, since it does not need any background interpolation or approximation cells, so it does not depend on the geometry of domain. The demand of meshless techniques increases because of its meshless nature and simplicity of usage in higher dimensions. We show the convergence analysis for this technique to stress its reliability, and eventually some examples are presented to indicate the applicability of the method. The approximate results of this technique are compared with the correct solutions, which reveals that this technique meets with the approval of the correct solutions to the problems.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210329T07:00:00Z
DOI: 10.1142/S1793557122500024

 Joins of paths and cycles of equal order with sigma chromatic number 2

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Authors: Agnes D. Garciano, Maria Czarina T. Lagura, Reginaldo M. Marcelo
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
For a simple connected graph [math] let [math] be a coloring of [math] where two adjacent vertices may be assigned the same color. Let [math] be the sum of colors of neighbors of any vertex [math] The coloring [math] is a sigma coloring of [math] if for any two adjacent vertices [math] [math] The least number of colors required in a sigma coloring of [math] is the sigma chromatic number of [math] and is denoted by [math] A sigma coloring of a graph is a neighbordistinguishing type of coloring and it is known that the sigma chromatic number of a graph is bounded above by its chromatic number. It is also known that for a path [math] and a cycle [math] where [math] [math] and [math] if [math] is even. Let [math] the join of the graphs [math], where [math] or [math] [math] and [math] is not an odd cycle for any [math]. It has been shown that if [math] for [math] and [math] then [math]. In this study, we give necessary and sufficient conditions under which [math] where [math] is the join of copies of [math] and/or [math] for the same value of [math]. Let [math] and [math] be positive integers with [math] and [math] In this paper, we show that [math] if and only if [math] or [math] is odd, [math] is even and [math]; and [math] if and only if [math] is even and [math] We also obtain necessary and sufficient conditions on [math] and [math], so that [math] for [math] where [math] or [math] other than the cases [math] and [math]
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210329T07:00:00Z
DOI: 10.1142/S1793557122500061

 Hit problem for the polynomial algebra as a module over the Steenrod
algebra in some degrees
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Authors: Nguyễn Khắc Tín
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Let [math] be the polynomial algebra in [math] variables with the degree of each [math] being [math] regarded as a module over the mod[math] Steenrod algebra [math] and let [math] be the general linear group over the prime field [math] which acts naturally on [math]. We study the hit problem, set up by Frank Peterson, of finding a minimal set of generators for the polynomial algebra [math] as a module over the mod2 Steenrod algebra, [math]. These results are used to study the Singer algebraic transfer which is a homomorphism from the homology of the mod[math] Steenrod algebra, [math] to the subspace of [math] consisting of all the [math]invariant classes of degree [math] In this paper, we explicitly compute the hit problem for [math] and the degree [math] with [math] an arbitrary positive integer. Using this result, we show that Singer’s conjecture for the algebraic transfer is true in the case [math] and the above degree.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210329T07:00:00Z
DOI: 10.1142/S1793557122500073

 Absorbing Markov chains for analyzing COVID19 infections

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Authors: Safaa K. Kadhem, Sadeq A. Kadhim
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
Recently, there are many works that proposed modeling approaches to describe the random movement of individuals for COVID19 infection. However, these models have not taken into account some key aspects for disease such the prediction of expected time of patients remaining at certain health state before entering an absorption state (e.g., exit out of the system for ever such as death state or recovery). Therefore, we propose a dynamical model approach called the absorbing Markov chains for analyzing COVID19 infections. From this modeling approach, we seek to focus and predict two states of absorption: recovery and death, as these two conditions are considered as important indicators in assessment of the health level. Based on the absorbing Markov model, the study suggested that there is a gradually increase in the predicted death number, while a decrease in the number of recovered individuals.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210329T07:00:00Z
DOI: 10.1142/S1793557122500085

 Ternary [math]semihyperrings: Ideals and ideals extensions

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Authors: S. OstadhadiDehkordi, B. Davvaz, M. Heidari
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
The aim of this research work is to define a new class of multialgebras that is called ternary [math]semihyperrings as a generalization of [math]semihyperrings and semihyperrings. Then, we define and study the concepts of ideals, mutual ideals, spectrum ideals, strong prime ideals and ultraprime ideals of them. Also, we define a topology on the set of strong prime ideals. Finally, we introduce the concept of ideal extensions and obtain some related results.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210320T07:00:00Z
DOI: 10.1142/S1793557122500103

 Discrete cubic spline technique for solving onedimensional Bratu’s
problem
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Authors: Pooja Khandelwal, Arshad Khan, Talat Sultana
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, discrete cubic spline method based on central differences is developed to solve onedimensional (1D) Bratu’s and Bratu’s type highly nonlinear boundary value problems (BVPs). Convergence analysis is briefly discussed. Four examples are given to justify the presented method and comparisons are made to confirm the advantage of the proposed technique.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210320T07:00:00Z
DOI: 10.1142/S1793557122500115

 Magnifying elements in linear transformation semigroups with restricted
range which nullity or corank are infinite
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Authors: Pongsan Prakitsri
Abstract: AsianEuropean Journal of Mathematics, Ahead of Print.
In this paper, we characterize left (right) magnifying elements in the semigroups of linear transformations with restricted range which nullity or corank are infinite. Furthermore, we also show that every left (right) magnifier in these semigroups is very good.
Citation: AsianEuropean Journal of Mathematics
PubDate: 20210312T08:00:00Z
DOI: 10.1142/S1793557122500036
