2019-08-19T15:16:12Z
http://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=5457
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
On Some Properties of the Max Algebra System Over Tensors
Ali Reza
Shojaeifard
Hamid Reza
Afshin
Recently we generalized the max algebra system to the class of nonnegative tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized. Also we generalize the direct product of matrices to the direct product of tensors (of the same order, but may be different dimensions) and investigate its properties relevant to the spectral theory.
Tensor
Max algebra
Left (right) inverse
Direct Product
Eigenvalue
2018
11
01
1
14
http://scma.maragheh.ac.ir/article_30023_8488dc3d5ca759a228ad5df74c6ba29b.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
Inequality Problems of Equilibrium Problems with Application
Ayed
Eleiwis Hashoosh
Mohsen
Alimohammady
Haiffa
Mohsen Buite
This paper aims at establishing the existence of results for a nonstandard equilibrium problems $(EP_{N})$. The solutions of this inequality are discussed in a subset $K$ (either bounded or unbounded) of a Banach spaces $X$. Moreover, we enhance the main results by application of some differential inclusion.
Monotone bifunction
Equilibrium problem
KKM technique
Differential inclusion
2018
11
01
15
26
http://scma.maragheh.ac.ir/article_30860_c0bfb3958a54da11019953e6e510717c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
On Regular Generalized $delta$-closed Sets in Topological Spaces
Somasundaram
Rajakumar
In this paper a new class of sets called regular generalized $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.
$rgdelta$-closed set
$delta$-closed set
$gdelta$-closed set
2018
11
01
27
37
http://scma.maragheh.ac.ir/article_31670_8ea53a986f453e9cf09b1cea80e28ed4.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
Somayeh
Khademloo
Saeed
Khanjany Ghazi
In this work, we study the existence of non-trivial multiple solutions for a class of quasilinear elliptic systems equipped with concave-convex nonlinearities and critical growth terms in bounded domains. By using the variational method, especially Nehari manifold and Palais-Smale condition, we prove the existence and multiplicity results of positive solutions.
Variational methods
Nehari manifold
Dirichlet boundary condition
Critical Sobolev exponent
2018
11
01
39
57
http://scma.maragheh.ac.ir/article_30802_0eb7522ae468435b9c608e6dbed0ccdc.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
$(-1)$-Weak Amenability of Second Dual of Real Banach Algebras
Hamidreza
Alihoseini
Davood
Alimohammadi
Let $ (A,| cdot |) $ be a real Banach algebra, a complex algebra $ A_mathbb{C} $ be a complexification of $ A $ and $ | | cdot | | $ be an algebra norm on $ A_mathbb{C} $ satisfying a simple condition together with the norm $ | cdot | $ on $ A$. In this paper we first show that $ A^* $ is a real Banach $ A^{**}$-module if and only if $ (A_mathbb{C})^* $ is a complex Banach $ (A_mathbb{C})^{**}$-module. Next we prove that $ A^{**} $ is $ (-1)$-weakly amenable if and only if $ (A_mathbb{C})^{**} $ is $ (-1)$-weakly amenable. Finally, we give some examples of real Banach algebras which their second duals of some them are and of others are not $ (-1)$-weakly amenable.
Banach algebra
Banach module
Complexification
Derivation
$(-1)$-Weak amenability
2018
11
01
59
88
http://scma.maragheh.ac.ir/article_34113_3f1b722dd60120b8864b2d8ea1a312fc.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions
Zahra
Orouji
Rasul
Aghalary
For a constant $alphain left(-frac{pi}{2},frac{pi}{2}right)$, we define<br />a subclass of the spirallike functions, $SP_{p}(alpha)$, the set<br />of all functions $fin mathcal{A}$<br />[<br />releft{e^{-ialpha}frac{zf'(z)}{f(z)}right}geqleft|frac{zf'(z)}{f(z)}-1right|.<br />]<br />In the present paper, we shall give the estimate of the<br /> norm of the pre-Schwarzian derivative $mathrm{T}_f=f''/f'$ where $|mathrm{T}_f|=sup_{zin Delta} (1-|z|^2)|mathrm{T}_f(z)|$ for the functions in $SP_{p}(alpha)$.
Pre-Schwarzian derivative
Spiral-like function
Uniformly convex function
2018
11
01
89
96
http://scma.maragheh.ac.ir/article_31361_c141090df86a41f99564a5e04602b904.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
Numerical Reckoning Fixed Points in $CAT(0)$ Spaces
Kifayat
Ullah
Hikmat
Khan
Muhammad
Arshad
In this paper, first we use an example to show the efficiency of $M$ iteration process introduced by Ullah and Arshad [4] for approximating fixed points of Suzuki generalized nonexpansive mappings. Then by using $M$ iteration process, we prove some strong and $Delta -$convergence theorems for Suzuki generalized nonexpansive mappings in the setting of $CAT(0)$ Spaces. Our results are the extension, improvement and generalization of many known results in $CAT(0)$ spaces.
Suzuki generalized nonexpansive mapping, $CAT(0)$ space
iteration process, $Delta$-convergence, Strong convergence
2018
11
01
97
111
http://scma.maragheh.ac.ir/article_34179_e6664cfdb6bfa989ed42e95d00fa66df.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
A Certain Class of Character Module Homomorphisms on Normed Algebras
Ali Reza
Khoddami
For two normed algebras $A$ and $B$ with the character space $bigtriangleup(B)neq emptyset$ and a left $B-$module $X,$ a certain class of bounded linear maps from $A$ into $X$ is introduced. We set $CMH_B(A, X)$ as the set of all non-zero $B-$character module homomorphisms from $A$ into $X$. In the case where $bigtriangleup(B)=lbrace varphirbrace$ then $CMH_B(A, X)bigcup lbrace 0rbrace$ is a closed subspace of $L(A, X)$ of all bounded linear operators from $A$ into $X$. We define an equivalence relation on $CMH_B(A, X)$ and use it to show that $CMH_B(A, X)bigcuplbrace 0rbrace $ is a union of closed subspaces of $L(A, X)$. Also some basic results and some hereditary properties are presented. Finally some relations between $varphi-$amenable Banach algebras and character module homomorphisms are examined.
Character space
Character module homomorphism
Arens products
$varphi-$amenability
$varphi-$contractibility
2018
11
01
113
120
http://scma.maragheh.ac.ir/article_31199_6d259fdf33f0dff36ef61b8685f930c1.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
$L^p$-Conjecture on Hypergroups
Seyyed Mohammad
Tabatabaie
Faranak
Haghighifar
In this paper, we study $L^p$-conjecture on locally compact hypergroups and by some technical proofs we give some sufficient and necessary conditions for a weighted Lebesgue space $L^p(K,w)$ to be a convolution Banach algebra, where $1<p<infty$, $K$ is a locally compact hypergroup and $w$ is a weight function on $K$. Among the other things, we also show that if $K$ is a locally compact hypergroup and $p$ is greater than 2, $K$ is compact if and only if $m(K)$ is finite and $fast g$ exists for all $f,gin L^p(K)$, where $m$ is a left Haar measure for $K$, and in particular, if $K$ is discrete, $K$ is finite if and only if the convolution of any two elements of $L^p(K)$ exists.
Locally compact hypergroup
Weight function
Banach algebra
$L^p$-space
2018
11
01
121
130
http://scma.maragheh.ac.ir/article_31386_a8065572b9d5671e77d5b27bb7d5b341.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces
Veerappan
Chandrasekar
Durairaj
Sobana
Appachi
Vadivel
The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy $e$-compactness have been obtained.
Intuitionistic fuzzy set
Intuitionistic fuzzy point
Intuitionistic fuzzy topological space
Intuitionistic fuzzy $e$-open set
Intuitionistic fuzzy $e$-continuity
Intuitionistic fuzzy $e$-closure
Intuitionistic fuzzy $e$-interior
Intuitionistic fuzzy $e$-compact spaces
2018
11
01
131
153
http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
On Generators in Archimedean Copulas
Vadoud
Najjari
This study after reviewing construction methods of generators in Archimedean copulas (AC), proposes several useful lemmas related with generators of AC. Then a new trigonometric Archimedean family will be shown which is based on cotangent function. The generated new family is able to model the low dependence structures.
Copulas
Generator
Dependence concepts
Measures of association
Tails
2018
11
01
155
166
http://scma.maragheh.ac.ir/article_28401_192ccd348b21007aaea898711ec47ec1.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
Some Properties of Reproducing Kernel Banach and Hilbert Spaces
Saeed
Hashemi Sababe
Ali
Ebadian
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels and prove some theorems in this subject.
Reproducing kernel
Multipliers
Vector-valued spaces
2018
11
01
167
177
http://scma.maragheh.ac.ir/article_27822_298b6f2d56821515a48c545aa71eba1d.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series
Sanjib
Kumar Datta
Tanmay
Biswas
In this paper, we study some growth properties of entire functions represented by a vector valued Dirichlet series on the basis of generalized relative Ritt order and generalized relative Ritt lower order.
Vector valued Dirichlet series (VVDS)
Generalized relative Ritt order
Generalized relative Ritt lower order
growth
2018
11
01
179
186
http://scma.maragheh.ac.ir/article_23647_e8687ff6925703bafd736c1ac63af7d7.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
On Character Space of the Algebra of BSE-functions
Mohammad
Fozouni
Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character space of $A$. Indeed, in the case that $A=C_0(X)$ where $X$ is a non-empty locally compact Hausdroff space, we give a complete characterization of $Delta(C_{rm{BSE}}(Delta(A)))$ and in the general case we give a partial answer. Also, using the Fourier algebra, we show that $C_{rm{BSE}}(Delta(A))$ is not a $C^*$-algebra in general. Finally for some subsets $E$ of $A^*$, we define the subspace of BSE-like functions on $Delta(A)cup E$ and give a nice application of this space related to Goldstine's theorem.
Banach algebra
BSE-function
Character space
Locally compact group
2018
11
01
187
194
http://scma.maragheh.ac.ir/article_27982_71b5e40149afa22c43b100c8a10c4984.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
12
1
A New Approach to Nonstandard Analysis
Saghe
Abdeljalil
In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing a few applications of this approach with the former methods.
Nonstandard analysis
Hyppereals
Internal set theory
2018
11
01
195
254
http://scma.maragheh.ac.ir/article_34187_1dc006e0051c51f4fe5705b57c2673a0.pdf