Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:P. G. Romeo, A. Anju Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we introduce the normal category [math] [[math]] of principal left [right] ideals of the normed algebra [math] of all finite rank bounded operators on a Hilbert space [math] and show that [math] and [math] are isomorphic using Hilbert space duality. We also prove that the semigroup of all normal cones in [math] is isomorphic to the semigroup of all finite rank operators on [math]. Further, we construct bounded normal cones in [math] such that the set of all bounded normal cones in [math] forms a normed algebra isomorphic to the normed algebra [math]. Citation: Asian-European Journal of Mathematics PubDate: 2024-04-12T07:00:00Z DOI: 10.1142/S1793557124500347

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Zeinab Khanjanzadeh, Ali Madanshekaf Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math] be a small well-powered category which has pullbacks. The aim of this paper is to study and characterize two (weak) topologies on presheaf category [math], one of these is constructed by means of a subfunctor of the Yoneda functor which corresponds to an ideal of [math], called (weak) ideal topology, and another constructed by a dominion. Naturally, these (weak) topologies of [math] introduce two (weak) Grothendieck topologies on [math]. To find and study their relations, using the induced presheaf [math] given by the fixed dominion [math] on [math] we construct an action of [math] on the subobject classifier [math] of [math]. Then, we investigate which one of (weak) Grothendieck topologies corresponds one-to-one to the ideals of [math] and which one is a sub [math]-set of [math]. Moreover, among other things, we give some conditions under which the Grothendieck topologies on [math] associated to the double negation topology [math] and two topologies [math] and [math] (mentioned above) are sub [math]-sets of [math]. Citation: Asian-European Journal of Mathematics PubDate: 2024-04-12T07:00:00Z DOI: 10.1142/S1793557124500359

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Ş. B. Bozkurt Altındağ, I. Milovanović, E. Milovanović Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math], [math], be a simple connected graph of order [math] and size [math]. Denote with [math] eigenvalues of the Laplacian matrix [math] of [math]. The Kirchhoff index and the number of spanning trees of [math] expressed in terms of Laplacian eigenvalues are given by [math] and [math], respectively. The characteristic polynomial of [math] is given by [math]. The first five Laplacian coefficients have been computed in the literature. In this study, we compute the sixth Laplacian coefficient of [math]. Then, we use it to improve the previously obtained results on [math] and [math]. In addition, we present new Nordhaus–Gaddum-type inequalities for [math] and [math]. Citation: Asian-European Journal of Mathematics PubDate: 2024-04-04T07:00:00Z DOI: 10.1142/S1793557124500335

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Zinat Rastgar, Kazem Khashyarmanesh, Mojgan Afkhami Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we investigate when the generalized join product, generalized corona product, generalized edge corona product and the Kronecker product of graphs are divisor graphs. Also the situations under which the zero divisor graph and the co-maximal graph are divisor graphs are characterized. Citation: Asian-European Journal of Mathematics PubDate: 2024-04-01T07:00:00Z DOI: 10.1142/S1793557124500281

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Vladimir Rovenski Abstract: Asian-European Journal of Mathematics, Ahead of Print. Weak almost contact manifolds, i.e., the linear complex structure on the contact distribution is replaced by a nonsingular skew-symmetric tensor, defined by the author and Wolak, allowed us to take a new look at the theory of contact manifolds. In this paper, we continue our study of a new structure of this type, called a weak nearly Sasakian structure, and prove theorems characterizing Sasakian manifolds. Our main result generalizes the theorem by Nicola–Dileo–Yudin (2018) and provides a new criterion for a weak almost-contact metric manifold to be Sasakian. Citation: Asian-European Journal of Mathematics PubDate: 2024-04-01T07:00:00Z DOI: 10.1142/S179355712450030X

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Anak Nongmanee, Sorasak Leeratanavalee Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we construct new [math]-ary semihypergroups induced by subsets of the base sets of [math]-ary semigroups. Then, we investigate some algebraic connections between the [math]-ary semihypergroups and [math]-ary semigroups via the concept of regularity on [math]-ary semihypergroups. We also discover some significant conditions on [math]-ary semihypergroups which can be reduced to semihypergroups. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-29T07:00:00Z DOI: 10.1142/S1793557124500311

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Abdullah Alatawi, Maslina Darus Abstract: Asian-European Journal of Mathematics, Ahead of Print. In the current work, we alter the Opoola derivative operator using quantum calculus. We examine a novel specific subfamily of analytical functions with complex order connected to the subordination principal by using the modified [math]-Opoola derivative operator. Next, we examine the Fekete–Szegö inequality for the generated subclass in the open unit disk. This paper sheds light the significant connections between the results introduced in this work and previous results. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-25T07:00:00Z DOI: 10.1142/S179355712450027X

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Anuradha Gupta, Ankit Kumar, Manu Rohilla Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we derive coincidence point and common fixed point results under order homotopies of families of mappings in partially ordered [math]-metric spaces. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-25T07:00:00Z DOI: 10.1142/S1793557124500293

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Nagendra Singh, Akhlad Iqbal, Shahid Ali Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this study, we extend the weighted variational inequality problem (WVIP) and the Minty weighted variational inequality problem (MWVIP) from linear spaces to nonlinear spaces, specifically Hadamard manifolds, and show the relationships between WVIP and vector variational inequalities. In addition, we establish the concept of weighted monotonicities on the Hadamard manifold and prove the existence of many solutions. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-22T07:00:00Z DOI: 10.1142/S1793557124500244

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:G. García Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, based on the so-called degree of nondensifiability (DND), we introduce the concept of DND-convex-power condensing mapping which generalizes that of the DND-condensing one. A fixed point result for this new class of mappings is proved, and with some examples we evidence the differences between it and other fixed point theorems of the same type. As application of our results, we prove under suitable conditions the existence of fixed point for the superposition operator, defined in the Banach spaces of the continuous functions from [math] and with values in a Banach space. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-19T07:00:00Z DOI: 10.1142/S1793557124500256

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Bikramjit Roy, Kamalika Chakraborty, Manasi Mandal, Sujit Kumar Sardar Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we first discuss about the basic semiring properties; subsemirings, ideals, [math]-ideals, [math]-ideals, units, structure preserving properties of both extended tropical semiring [math] and semiring of tropical matrices [math]. Using the known fact that the subsemimodules of [math]-semimodule [math] and the ideals of [math] are in a canonical correspondence, we study different types of subsemimodules of [math]-semimodule [math], left (right) ideals, left (right) [math]-ideals, left (right) [math]-ideals of [math]. We prove that both [math] and [math] are local semirings, Noetherian (Artinian), [math]-Noetherian ([math]-Artinian), [math]-Noetherian ([math]-Artinian). Finally, we deduce that [math] is neither left nor right Noetherian (Artinian) but left as well as right [math]-Noetherian ([math]-Artinian). Citation: Asian-European Journal of Mathematics PubDate: 2024-03-18T07:00:00Z DOI: 10.1142/S1793557124500190

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Sema Kazan, Cumali Yildirim Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we introduce screen almost semi-invariant (SASI)-lightlike submanifolds of indefinite Kaehler manifolds. We obtain the necessary and sufficient condition for the induced connection to be a metric connection on SASI-lightlike submanifolds and construct an example for this manifold. Also, we find some conditions for integrability of distributions and investigate certain characterizations. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-16T07:00:00Z DOI: 10.1142/S1793557124500165

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Subhadip Roy, Parbati Saha, Binayak S. Choudhury Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, in the first place, a strong coupled fixed point result is established for couplings satisfying Pata-type contractive conditions along with certain corollaries and a supportive illustration. Couplings are combinations of coupled and cyclic maps which have appeared in recent literature and have several applications. The illustrative example shows that the theorem properly extends some of the existing results. In the second part of the paper we construct a special type of iterated function system and, utilizing the coupled fixed point theorem introduced in this work, we show that such systems lead to strong fractal sets. This part of the paper is a part of the Hutchinson–Barnsley theory. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-16T07:00:00Z DOI: 10.1142/S1793557124500268

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Tomáš Vetrík Abstract: Asian-European Journal of Mathematics, Ahead of Print. For a [math]-uniform hypergraph [math], we introduce degree-based indices such as the general sum-connectivity index [math] and the general Randić index [math], where [math], [math] is the set of hyperedges of [math] and [math] is the degree of a vertex [math] in [math]; [math] and [math]. Other indices such as the first and second Zagreb index, first and second hyper-Zagreb index, classical sum-connectivity index, classical Randić index and harmonic index of a hypergraph [math] are special cases of the general indices. For [math], we obtain upper bounds on [math] and [math] for a uniform hypergraph [math] with given order, order and number of isolated vertices, order and maximum degree, order and diameter at least [math], and lower bounds for uniform hypergraphs with given order and no isolated vertices, order and minimum degree, and order and maximum possible degree. We also present extremal graphs for all the bounds. Bounds on Zagreb indices follow from our results on general indices. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-14T07:00:00Z DOI: 10.1142/S1793557124500232

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Somaye Mehralinejadian, Ahmad Moussavi, Shervin Sahebi Abstract: Asian-European Journal of Mathematics, Ahead of Print. A ring [math] with an automorphism [math] and a [math]-derivation [math] is called [math]-[math]-Baer (respectively [math]-Baer) if the right annihilator of every projection invariant [math]-left ideal (respectively left ideal) of [math] is generated by an idempotent, as a right ideal. We study the relationship between the [math]-[math]-Baer (respectively [math]-Baer) property of a ring [math] and those of the skew polynomial ring [math], skew inverse power series rings [math] and the skew inverse Laurent series ring [math]. Examples are provided to illustrate and delimit the theory. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-13T07:00:00Z DOI: 10.1142/S1793557124500141

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Jagan Mohan Jonnalagadda Abstract: Asian-European Journal of Mathematics, Ahead of Print. This paper deals with fractional boundary value problems involving the Hilfer–Hadamard fractional differential operator of order [math] and type [math]. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer–Hadamard fractional boundary value problems (HFBVPs) involving separated and anti-periodic boundary conditions. For this purpose, we construct the associated Green’s functions and deduce their important properties. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-13T07:00:00Z DOI: 10.1142/S1793557124500153

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Abasalt Bodaghi, Omid Pourbahri Rahpeyma, Maryam Mazdarani Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this work, we introduce a system of additive, quadratic and cubic functional equations (somewhat different from what has been defined by Bodaghi and Rassias) which defines the multi-additive-quadratic-cubic mappings and then unify and characterize such mappings as a single equation without the quadratic condition. Moreover, by using a fixed point theorem, we establish the Găvruţa stability of the multi-additive-quadratic-cubic mappings in the setting of Banach spaces. As few known results, we prove the Hyers stability for multi-additive, multi-quadratic and multi-cubic mappings. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-13T07:00:00Z DOI: 10.1142/S1793557124500189

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Krishna Kummari, Rekha R. Jaichander, Izhar Ahmad Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this study, sufficient optimality criteria for a robust fractional interval-valued optimization problem (RP) is highlighted based on the idea of convexificators. The use of generalized invexity tools to support sufficient optimality conditions is demonstrated by an example. Also, saddle point condition of a Lagrange function is examined for RP. Furthermore, Mond–Weir-type robust dual model is constructed and by employing the concept of generalized invexity, usual duality results are discussed. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-13T07:00:00Z DOI: 10.1142/S1793557124500207

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Aftab Hussain Shah, Shariq Ali Attari, Noor Mohammad Khan Abstract: Asian-European Journal of Mathematics, Ahead of Print. We prove some basic results on left groups and their homomorphisms and characterize congruences and homomorphisms on these semigroups. Finally we investigate some properties of the endomorphism monoid of a left group. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-13T07:00:00Z DOI: 10.1142/S1793557124500219

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Sumanta Das Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we introduce [math]-graded Clifford semiring and discuss the basic notion and classical properties of [math]-graded Clifford semiring. Also, we prove that Leavitt path algebra over a commutative Clifford semiring [math] is a [math]-graded [math]-semialgebra. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-13T07:00:00Z DOI: 10.1142/S1793557124500220

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Ameer Jaber Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math] be a commutative super-ring with unity [math] and let [math] be the set of all superideals of [math]. Let [math] be a reduction function of superideals of [math] and let [math] be an expansion function of superideals of [math]. We recall that a proper superideal [math] of [math] is called a [math]-1-absorbing [math]-primary superideal of [math], if whenever [math] for some nonunit elements [math], then [math] or [math]. In this paper, we introduce a new class of superideals that is a generalization to the class of [math]-1-absorbing [math]-primary superideals. Let [math] be a multiplicative subset of the subset [math] of the homogeneous elements such that [math] and let [math] be a proper superideal of [math] with [math], then [math] is called a [math]-[math]-1-absorbing [math]-primary superideal of [math] associated to [math] if whenever [math] for some nonunit elements [math], then [math] or [math]. In this paper, we have presented a range of different examples, properties and characterizations of this new class of superideals. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-09T08:00:00Z DOI: 10.1142/S179355712450013X

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Vítor H. Fernandes Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we study the cyclic inverse monoid [math] on a set [math] with [math] elements, i.e. the inverse submonoid of the symmetric inverse monoid on [math] consisting of all restrictions of the elements of a cyclic subgroup of order [math] acting cyclically on [math]. We show that [math] has rank [math] (for [math]) and [math] elements. Moreover, we give presentations of [math] on [math] generators and [math] relations and on [math] generators and [math] relations. We also consider the remarkable inverse submonoid [math] of [math] constituted by all its order-preserving transformations. We show that [math] has rank [math] and [math] elements. Furthermore, we exhibit presentations of [math] on [math] generators and [math] relations and on [math] generators and [math] relations. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-06T08:00:00Z DOI: 10.1142/S1793557124500177

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math] and [math] be two unital complex ∗-algebras. This paper is concerned with characterizations of bijective maps [math] preserving sum of triple products [math], where the scalars [math] are complex numbers satisfying some conditions. As a consequence, maps preserving mixed product, of Jordan [math]-product and Jordan [math]-∗-product, where [math] and [math] are two nonzero complex numbers, are also characterized. Citation: Asian-European Journal of Mathematics PubDate: 2024-03-05T08:00:00Z DOI: 10.1142/S1793557124500116

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Nguyen Minh Khoa Abstract: Asian-European Journal of Mathematics, Ahead of Print. This research is focused to introduce the new polyconvolution operator related to Hartley integral transforms [math] study the algebraic fundamental properties, and at the same time, we apply this polyconvolution operator to solve an integral equation of polyconvolutions type, integro-differential equation of Barbashin type and a system of two integral equations of polyconvolution type. On the other hand, we study the Wastson-type integral for this polyconvolution operator. We establish necessary and sufficient conditions for these operators to be unitary in the space [math] and get their inverse represented in the conjugate symmetric form. Furthermore, we also formulate the Placherel-type theorem for the aforementioned operators, proved a sequence of function that convergence to the original function in the norm of [math] and further show the boundedness of these operators. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-24T08:00:00Z DOI: 10.1142/S1793557124500098

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Md Arshad Madni, Cihat Abdioğlu, Wasim Ahmed, Muzibur Rahman Mozumder Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math] be a [math]-torsion free unital ∗-ring containing nontrivial symmetric idempotent. In this article, it is shown that if a map [math] : [math] (not necessarily additive) satisfies [math] for all [math], then [math] is additive. Moreover, if [math] is self-adjoint, then [math] is a ∗-derivation. As an applications, we apply our main result to some special classes of unital ∗-rings and ∗-algebras such as prime ∗-ring, prime ∗-algebra, standard operator algebra, factor von Neumann algebra and von Neumann algebra with no central summands of type [math]. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-23T08:00:00Z DOI: 10.1142/S1793557124500049

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Hanane Kessal, Abdallah Bensayah Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we consider a quasivariational inequalities of hyperbolic type, the existence, uniqueness and regularity of a solution to the quasivariational inequalities is proved by using Rothe method and fixed-point technique. We illustrate the abstract results by an application to dynamic contact frictional problem for viscoelastic materials where the friction bound function depends on the slip. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-23T08:00:00Z DOI: 10.1142/S1793557124500062

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Fatemeh Shahini, Kazem Khashyarmanesh Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math] be a finite ring (with nonzero identity) and let [math] denote the unitary one-matching bi-Cayley graph over [math] In this paper, we calculate the chromatic, edge chromatic, clique and independent numbers of [math] and we show that the graph [math] is a strongly regular graph if and only if [math]. Also, we study the perfectness of [math] Moreover, we prove that if [math] and [math] then [math] and [math], where [math] and [math] are Jacobson radicals of [math] and [math], respectively. Furthermore, for a finite field [math] with [math] and a ring [math], we prove that if [math] where [math] is an integer, then [math] and so [math] is a semisimple ring. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-23T08:00:00Z DOI: 10.1142/S1793557124500104

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Rasimate Maungchang, Prathomjit Khachorncharoenkul, Teerapong Suksumran Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we extend our research on Cayley graphs of gyrogroups by exploring connections between the algebraic characteristics of gyrogroups and the combinatorial characteristics of their Cayley graphs. We look into some automorphisms of right Cayley graphs, give sufficient and necessary criteria for a right Cayley graph to be vertex-transitive by left gyrotranslations, and prove a similar result for quotient gyrogroups. Some sufficient and necessary criteria for a left gyroaddition to preserve edge color and for a gyration to be an automorphism on the graph are also given. Lastly, we show that certain Cayley graphs of a gyrogroup encode the gyroaddition table and provide an algorithm to compute the gyroaddition with the aid of the gyration table. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-22T08:00:00Z DOI: 10.1142/S1793557124500074

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Sreya Valiya Valappil, Shaini Pulickakunnel Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we prove some fixed point results for relatively nonexpansive mappings using Thakur iteration in uniformly convex [math] Hyperbolic spaces. Our results generalize some of the existing results in the literature. We illustrate our results with an example and shown the convergence of Thakur iteration to the fixed points of relatively nonexpansive mappings using Matlab code. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-16T08:00:00Z DOI: 10.1142/S1793557124500086

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Mohammed Mekkaoui, Abdelhak Taane, Salim Badidja Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we prove some new identities involving [math]-Fibonacci and [math]-Lucas numbers by using some properties of [math]-Jacobsthal polynomials. Moreover, we present some applications of these identities in Diophantine equations and divisibility properties. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-14T08:00:00Z DOI: 10.1142/S1793557124500013

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Vahid Darvish, Mojtaba Nouri, Mehran Razeghi Abstract: Asian-European Journal of Mathematics, Ahead of Print. Let [math] and [math] be two von Neumann algebras such that [math] is factor. In this paper, we suppose that [math] from [math] onto [math] is bijective, unital and satisfies Φ(A∗B + ηB∗A) = Φ(A)∗Φ(B) + ηΦ(B)∗Φ(A) for all [math] where [math] is a nonzero scalar such that [math]. Then, [math] is additive ∗-isomorphism. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-14T08:00:00Z DOI: 10.1142/S1793557124500025

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Promit Mukherjee, Rajlaxmi Mukherjee, Sujit Kumar Sardar Abstract: Asian-European Journal of Mathematics, Ahead of Print. The Action graph of a semigroup act was defined by the authors in [P. Mukherjee, R. Mukherjee and S. K. Sardar, Action graph of a semigroup act [math] its functorial connection, Categ. Gen. Algebr. Struct. Appl. 18(1) (2023) 43–80] as a combinatorial representation of the acting semigroup. In this paper, we first study some algebraic properties of subacts of a semigroup act which relate graphical properties of the corresponding action graph. We then consider the Leavitt path algebra of action graph and characterize the properties like primality, primitivity, ideal simplicity, etc. Simplicity of the Leavitt path algebra of action graph is found to have a nice connection with the intersection-large subacts of the underlying semigroup act. The notion of extendable subacts of a semigroup act has been introduced and used to characterize the simplicity of Leavitt path algebra for row-finite action graph. Finally, we characterize the simplicity, graded ideal simplicity, purely infinite simplicity of the Leavitt path algebras of a particular class of action graphs namely the Cayley graphs of semigroups. Some of our results in this paper provide suitable generalizations of the existing results on Leavitt path algebra of Cayley graphs as well as of power graphs of finite groups. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-14T08:00:00Z DOI: 10.1142/S1793557124500050

Please help us test our new pre-print finding feature by giving the pre-print link a rating. A 5 star rating indicates the linked pre-print has the exact same content as the published article.

Authors:Yeni Susanti, Ahmad Erfanian Abstract: Asian-European Journal of Mathematics, Ahead of Print. In this paper, we consider the prime square order Cayley graph of a cyclic group [math] of order [math], where [math] and [math] are two distinct prime numbers. We discuss the Eulerianity and Hamiltonicity of the graph. Moreover, we present the girth, the diameter, the independence number, the chromatic number, the clique number, and the dominating number of the graph. Citation: Asian-European Journal of Mathematics PubDate: 2024-02-06T08:00:00Z DOI: 10.1142/S1793557124500037