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 Facta Universitatis, Series : Mathematics and Informatics   [0 followers]  Follow       Open Access journal    ISSN (Print) 0352-9665 - ISSN (Online) 2406-047X    Published by U of Niš  [11 journals]
• ON SOME GENERALIZED DIFFERENCE SEQUENCE SPACES OF FUZZY NUMBERS DEFINED BY
A SEQUENCE OF MODULI

• Authors: Shyamal Debnath, Jayanta Debnath
Abstract: We have introduced the paranormed sequence spaces cF (f; Λ; ∆m; p),
cF0 (f; Λ; ∆m; p) and l1 F (f; Λ; ∆m; p) of fuzzy numbers associated with the multiplier sequence Λ = (λk) determined by a sequence of moduli f = (fk). Some of their properties like solidity, symmetricity, completeness etc. and inclusion relations are studied.
PubDate: 2017-04-18
Issue No: Vol. 32, No. 1 (2017)

• The Generalized Non-Absolute Type of Triple Γ3 Sequence Spaces
defined Musielak-Orlicz function

• Authors: Shyamal Debnath, N Subramanian
Abstract: In this paper we introduce the notion of λmnk - Γ3 and Λ3 sequences. Further, we introduce the spaces hΓ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi
and hΛ3 fλ; k(d (x1; 0) ; d (x2; 0) ; · · · ; d (xn-1; 0))kpi ; which are of nonabsolute type and we prove that these spaces are linearly isomorphic
to the spaces Γ3 and Λ3; respectively. Moreover, we establish some
inclusion relations between these spaces.
PubDate: 2017-04-18
Issue No: Vol. 32, No. 1 (2017)

• APPLICATIONS OF INFINITE MATRICES IN NON-NEWTONIAN CALCULUS FOR PARANORMED
SPACES AND THEIR TOEPLITZ DUALS

• Authors: Kuldip Raj, Charu Sharma
Abstract: The main purpose of this paper is to construct some difference sequence spaces over the geometric complex numbers for an infinite matrix and Museilak-Orlicz function. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. An endeavor has been made to prove that these are Banach spaces. Furthermore, we compute the $\alpha$-, $\beta$-, $\gamma$-dual of these spaces.
PubDate: 2017-04-18
Issue No: Vol. 32, No. 1 (2017)

• WEAKLY $\alpha_{\gamma}$-REGULAR AND WEAKLY $\alpha_{\gamma}$-NORML SPACES

• Authors: Alias B. Khalaf, Hariwan Zikri Ibrahim
Pages: 001 - 010
Abstract: The aim of this paper is to introduce and study two new classes of
spaces, called weakly $\alpha_{\gamma}$-regular and weakly $\alpha_{\gamma}$-normal spaces. Some basic properties of these separation axioms are studied by utilizing $\alpha_{\gamma}$-open and $\alpha_{\gamma}$-closed sets.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• VISUALIZATION OF LINES OF CURVATURE ON QUADRATIC SURFACES

• Authors: Vesna Velickovic
Pages: 011 - 029
Abstract: In this paper, we give a complete survey of the lines of curvature on
quadratic surfaces, and, more generally, on tangent surfaces, general
cylinders and cones. We also apply our own software to the graphical representation of all the results we present.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• FIXED POINTS AND STABILITY OF A CLASS OF NONLINEAR DELAY
INTEGRO-DIFFERENTIAL EQUATIONS WITH VARIABLE DELAYS

• Authors: Hocine Gabsi, Abdelouaheb Ardjouni, Ahcene Djoudi
Pages: 031 - 057
Abstract: In this work we study a class of second order nonlinear neutral integro-differential equations

x(t)+f(t,x(t),x(t))x(t)+∑_{j=1}^{N}∫_{t-τ_{j}(t)}^{t}a_{j}(t,s)g_{j}(s,x(s))ds
+∑_{j=1}^{N}b_{j}(t)x′(t-τ_{j}(t))=0,

with variable delays and give some new conditions ensuring that the zero solution is asymptotically stable by means of the fixed point theory. Our work extends and improves previous results in the literature such as, D. Pi <cite>pi2,pi3</cite> and T. A. Burton <cite>b12</cite>. An example is given to illustrate our claim.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• ON SOME SUBSETS OF SOFT WEAK STRUCTURES

• Authors: Alaa Mohamed Abd El-latif
Pages: 059 - 072
Abstract: The main purpose of this paper, is to list the main properties which give the deviations between soft weak structure [15] and thats in soft topological spaces [14] and supra soft topological spaces [6], which is supported by counter examples. Moreover, we introduce and study the basic properties of the soft structures π(swo), σ(swo), α(swo), β(swo) and ρ(swo). It has been pointed out in this paper that many of these parameters studied have, in fact, applications in real world situations and therefore I believe that this is an extra justification for the work conducted in this paper.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• BEST PROXIMITY AND COUPLED BEST PROXIMITY POINTS OF ( psi-phi-theta
)-ALMOST WEAKLY CONTRACTIVE MAPS IN PARTIALLY ORDERED METRIC SPACE

• Authors: Venkata Ravindranadh Gutti Babu, Bekere Kumssa Leta
Pages: 073 - 094
Abstract: In this paper we obtain some best proximity point results using almost contractive condition with three control functions (in which two of them need not be continuous) in partially ordered metric spaces. As an application, we prove coupled best proximity theorems. The results presented in this paper generalize the results of Choudhury, Metiya, Postolache and Konar [8]. We draw several corollaries and give illustrative examples to demonstrate the validity of our results.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• SOME GENERALIZED FIBONACCI DIFFERENCE SPACES DEFINED BY A SEQUENCE OF
MODULUS FUNCTIONS

• Authors: Gülsen Kılınç, Murat Candan
Pages: 095 - 116
Abstract: This paper submits the sequence space $l\left( \widehat{F}\left( r,s\right) ,\mathcal{F},p,u\right)$ and $l_{\infty }\left( \widehat{F}\left( r,s\right) ,\mathcal{F},p,u\right)$of non-absolute type under the domain of
the matrix$\widehat{\text{ }F}\left( r,s\right)$ constituted by using
Fibonacci sequence and non-zero real number $r$, $s$ and a sequence of
modulus functions. We study some inclusion relations, topological and
geometric properties of these spaceses. Further, we give the $\alpha$- $% \beta$- and $\gamma$-duals of said sequence spaces and characterization of
the classes $\left( l\left( \widehat{F}\left( r,s\right) ,\mathcal{F}% ,p,u\right) ,X\right)$ and $\left( l_{\infty }\left( \widehat{F}\left( r,s\right) ,\mathcal{F},p,u\right) ,X\right)$.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• ON THE $\mathcal{M}$--PROJECTIVE CURVATURE TENSOR OF A $(k, \mu)$-CONTACT
METRIC MANIFOLD

• Authors: D. G. Prakasha, Kakasab Mirji
Pages: 117 - 128
Abstract: The paper deals with the study of $\mathcal{M}$-projective curvature tensor on $(k, \mu)$-contact metric manifolds. We classify non-Sasakian $(k, \mu)$-contact metric manifold satisfying the conditions $R(\xi, X)\cdot \mathcal{M} = 0$ and $\mathcal{M}(\xi, X)\cdot S =0$, where $R$ and $S$ are the Riemannian curvature tensor and the Ricci tensor, respectively. Finally, we prove that a $(k, \mu)$-contact metric manifold with vanishing extended $\mathcal{M}$-projective curvature tensor $\mathcal{M}^{e}$ is a Sasakian manifold.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• THREE-DIMENSIONAL ALMOST $\alpha$-PARA-KENMOTSU MANIFOLDS SATISFYING
CERTAIN NULLITY CONDITIONS

• Authors: Ximin Liu, Quanxiang Pan
Pages: 129 - 149
Abstract: In this paper, we study 3-dimensional  almost $\alpha$-para-Kenmotsu manifolds satisfying special types of nullity conditions depending on smooth functions $\tilde{\kappa},\tilde{\mu}$ and $\tilde{\nu}$=constant, also we present a local description of the structure of a 3-dimensional almost $\alpha$-para-Kenmotsu $(\tilde{\kappa},\tilde{\mu},\tilde{\nu}=const.)$-manifold $(M,\tilde{\varphi},\xi,\eta,\tilde{g})$ with $\tilde{\kappa}+\alpha^{2}\neq0$ such that $d\tilde{\kappa}\wedge\eta=0$.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• UTILIZING SUPRA α-OPEN SETS TO GENERATE NEW TYPES OF SUPRA COMPACT AND
SUPRA LINDELÖF SPACES

Pages: 151 - 162
(supra α-Lindel¨of) spaces, almost supra α-compact (almost supra α-Lindel¨of) spaces and mildly supra α-compact (mildly supra α-Lindel¨of) spaces in supra topological spaces utilizing a notion of supra α-open sets. Several properties of each concept are established and the relationships among them are provided with the help of interesting examples. A notion of supra α-limit points is presented and some properties with supra α-compactness are derived.
PubDate: 2017-03-21
Issue No: Vol. 32, No. 1 (2017)

• Subordination Conditions for a Class of Non-Bazilevivc Type Defined by
using Fractional q-calculus Operators

• Authors: S. Abelman, K. A. Selvakumaran, M. M. Rashidi, Sunil Dutt Purohit
Pages: 253 - 265
Abstract: In this article, we introduce and investigate a new class of
non-Bazileviv c functions with respect to k-symmetric points
defined by using fractional q-calculus operators and
q-differentiation. Several interesting subordination results are
derived for the functions belonging to this class in the open unit
disc. Furthermore, we point out some new and known consequences of our main result.
PubDate: 2017-03-27
Issue No: Vol. 32, No. 1 (2017)

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