On Some Properties of the Max Algebra System Over Tensors
Ali Reza
Shojaeifard
Department of Mathematics and Statistics, Faculty of Basic Sciences, Imam Hossein Comprehensive University, Tehran, Iran.
author
Hamid Reza
Afshin
Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
1
14
http://scma.maragheh.ac.ir/article_30023_8488dc3d5ca759a228ad5df74c6ba29b.pdf
dx.doi.org/10.22130/scma.2018.30023
Inequality Problems of Equilibrium Problems with Application
Ayed
Eleiwis Hashoosh
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
author
Mohsen
Alimohammady
Department of mathematics, University of Mazandaran, Babolsar, Iran.
author
Haiffa
Mohsen Buite
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
15
26
http://scma.maragheh.ac.ir/article_30860_c0bfb3958a54da11019953e6e510717c.pdf
dx.doi.org/10.22130/scma.2018.46703.100
On Regular Generalized $\delta$-closed Sets in Topological Spaces
Somasundaram
Rajakumar
Department of Science and Humanities, Krishnasamy College of Engineering and Technology, Cuddalore, Tamil Nadu-608 002, India.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
27
37
http://scma.maragheh.ac.ir/article_31670_8ea53a986f453e9cf09b1cea80e28ed4.pdf
dx.doi.org/10.22130/scma.2018.67135.257
The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
Somayeh
Khademloo
Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran.
author
Saeed
Khanjany Ghazi
Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
39
57
http://scma.maragheh.ac.ir/article_30802_0eb7522ae468435b9c608e6dbed0ccdc.pdf
dx.doi.org/10.22130/scma.2018.46462.98
$(-1)$-Weak Amenability of Second Dual of Real Banach Algebras
Hamidreza
Alihoseini
Department of Mathematics, Faculty of Science, University of Arak, 38156-8-8349, Arak, Iran.
author
Davood
Alimohammadi
Department of Mathematics, Faculty of Science, University of Arak, 38156-8-8349, Arak, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
59
88
http://scma.maragheh.ac.ir/article_34113_3f1b722dd60120b8864b2d8ea1a312fc.pdf
dx.doi.org/10.22130/scma.2018.88929.466
The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $\alpha$-spirallike Functions
Zahra
Orouji
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
author
Rasul
Aghalary
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
author
text
article
2018
eng
For a constant $\alpha\in \left(-\frac{\pi}{2},\frac{\pi}{2}\right)$, we definea subclass of the spirallike functions, $SP_{p}(\alpha)$, the setof all functions $f\in \mathcal{A}$\[\re\left\{e^{-i\alpha}\frac{zf'(z)}{f(z)}\right\}\geq\left|\frac{zf'(z)}{f(z)}-1\right|.\]In the present paper, we shall give the estimate of the norm of the pre-Schwarzian derivative $\mathrm{T}_f=f''/f'$ where $\|\mathrm{T}_f\|=\sup_{z\in \Delta} (1-|z|^2)|\mathrm{T}_f(z)|$ for the functions in $SP_{p}(\alpha)$.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
89
96
http://scma.maragheh.ac.ir/article_31361_c141090df86a41f99564a5e04602b904.pdf
dx.doi.org/10.22130/scma.2018.68371.262
Numerical Reckoning Fixed Points in $CAT(0)$ Spaces
Kifayat
Ullah
Department of Mathematics, University of Science and Technology
Bannu, KPK Pakistan.
author
Hikmat
Khan
Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan.
author
Muhammad
Arshad
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
97
111
http://scma.maragheh.ac.ir/article_34179_e6664cfdb6bfa989ed42e95d00fa66df.pdf
dx.doi.org/10.22130/scma.2018.62911.238
A Certain Class of Character Module Homomorphisms on Normed Algebras
Ali Reza
Khoddami
Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran.
author
text
article
2018
eng
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 $\bigtriangleup(B)=\lbrace \varphi\rbrace$ then $CMH_B(A, X)\bigcup \lbrace 0\rbrace$ 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)\bigcup\lbrace 0\rbrace $ 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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
113
120
http://scma.maragheh.ac.ir/article_31199_6d259fdf33f0dff36ef61b8685f930c1.pdf
dx.doi.org/10.22130/scma.2018.78500.364
$L^p$-Conjecture on Hypergroups
Seyyed Mohammad
Tabatabaie
Department of Mathematics, University of Qom, Qom 3716146611, Iran.
author
Faranak
Haghighifar
Department of Mathematics, University of Qom, Qom 3716146611, Iran.
author
text
article
2018
eng
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 $f\ast g$ exists for all $f,g\in L^p(K)$, 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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
121
130
http://scma.maragheh.ac.ir/article_31386_a8065572b9d5671e77d5b27bb7d5b341.pdf
dx.doi.org/10.22130/scma.2018.66851.256
On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces
Veerappan
Chandrasekar
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
author
Durairaj
Sobana
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
author
Appachi
Vadivel
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
131
153
http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdf
dx.doi.org/10.22130/scma.2017.28223
On Generators in Archimedean Copulas
Vadoud
Najjari
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
155
166
http://scma.maragheh.ac.ir/article_28401_192ccd348b21007aaea898711ec47ec1.pdf
dx.doi.org/10.22130/scma.2017.28401
Some Properties of Reproducing Kernel Banach and Hilbert Spaces
Saeed
Hashemi Sababe
Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.
author
Ali
Ebadian
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
167
177
http://scma.maragheh.ac.ir/article_27822_298b6f2d56821515a48c545aa71eba1d.pdf
dx.doi.org/10.22130/scma.2017.27822
On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series
Sanjib
Kumar Datta
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
author
Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
179
186
http://scma.maragheh.ac.ir/article_23647_e8687ff6925703bafd736c1ac63af7d7.pdf
dx.doi.org/10.22130/scma.2017.23647
On Character Space of the Algebra of BSE-functions
Mohammad
Fozouni
Department of Mathematics and Statistics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, P.O.Box 163, Gonbad Kavous, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
187
194
http://scma.maragheh.ac.ir/article_27982_71b5e40149afa22c43b100c8a10c4984.pdf
dx.doi.org/10.22130/scma.2017.27982
A New Approach to Nonstandard Analysis
Saghe
Abdeljalil
Cpge de Settat, Lycee Qualifiant Technique PB: 576-Maroc.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
12
v.
1
no.
2018
195
254
http://scma.maragheh.ac.ir/article_34187_1dc006e0051c51f4fe5705b57c2673a0.pdf
dx.doi.org/10.22130/scma.2018.63978.244