eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
1
14
10.22130/scma.2018.30023
30023
مقاله پژوهشی
On Some Properties of the Max Algebra System Over Tensors
Ali Reza Shojaeifard
ashojaeifard@ihu.ac.ir
1
Hamid Reza Afshin
afshin@vru.ac.ir
2
Department of Mathematics and Statistics, Faculty of Basic Sciences, Imam Hossein Comprehensive University, Tehran, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of Iran.
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.
http://scma.maragheh.ac.ir/article_30023_8488dc3d5ca759a228ad5df74c6ba29b.pdf
Tensor
Max algebra
Left (right) inverse
Direct Product
Eigenvalue
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
15
26
10.22130/scma.2018.46703.100
30860
مقاله پژوهشی
Inequality Problems of Equilibrium Problems with Application
Ayed Eleiwis Hashoosh
ayed197991@yahoo.com
1
Mohsen Alimohammady
amohsen@umz.ac.ir
2
Haiffa Mohsen Buite
alrfayalrfay@gmail.com
3
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
Department of mathematics, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
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.
http://scma.maragheh.ac.ir/article_30860_c0bfb3958a54da11019953e6e510717c.pdf
Monotone bifunction
Equilibrium problem
KKM technique
Differential inclusion
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
27
37
10.22130/scma.2018.67135.257
31670
مقاله پژوهشی
On Regular Generalized $delta$-closed Sets in Topological Spaces
Somasundaram Rajakumar
srkumar277@gmail.com
1
Department of Science and Humanities, Krishnasamy College of Engineering and Technology, Cuddalore, Tamil Nadu-608 002, India.
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.
http://scma.maragheh.ac.ir/article_31670_8ea53a986f453e9cf09b1cea80e28ed4.pdf
$rgdelta$-closed set
$delta$-closed set
$gdelta$-closed set
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
39
57
10.22130/scma.2018.46462.98
30802
مقاله پژوهشی
The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent
Somayeh Khademloo
s.khademloo@nit.ac.ir
1
Saeed Khanjany Ghazi
s.khanjany@gmail.com
2
Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran.
Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran.
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.
http://scma.maragheh.ac.ir/article_30802_0eb7522ae468435b9c608e6dbed0ccdc.pdf
Variational methods
Nehari manifold
Dirichlet boundary condition
Critical Sobolev exponent
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
59
88
10.22130/scma.2018.88929.466
34113
مقاله پژوهشی
$(-1)$-Weak Amenability of Second Dual of Real Banach Algebras
Hamidreza Alihoseini
hr_alihoseini@yahoo.com
1
Davood Alimohammadi
alimohammadi.davood@gmail.com
2
Department of Mathematics, Faculty of Science, University of Arak, 38156-8-8349, Arak, Iran.
Department of Mathematics, Faculty of Science, University of Arak, 38156-8-8349, Arak, Iran.
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.
http://scma.maragheh.ac.ir/article_34113_3f1b722dd60120b8864b2d8ea1a312fc.pdf
Banach algebra
Banach module
Complexification
Derivation
$(-1)$-Weak amenability
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
89
96
10.22130/scma.2018.68371.262
31361
مقاله پژوهشی
The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $alpha$-spirallike Functions
Zahra Orouji
z.oroujy@yahoo.com
1
Rasul Aghalary
raghalary@yahoo.com
2
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
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 $SP_{p}(alpha)$.
http://scma.maragheh.ac.ir/article_31361_c141090df86a41f99564a5e04602b904.pdf
Pre-Schwarzian derivative
Spiral-like function
Uniformly convex function
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
97
111
10.22130/scma.2018.62911.238
34179
مقاله پژوهشی
Numerical Reckoning Fixed Points in $CAT(0)$ Spaces
Kifayat Ullah
kifayatmath@yahoo.com
1
Hikmat Khan
hikmatnawazkhan@gmail.com
2
Muhammad Arshad
marshadzia@iiu.edu.pk
3
Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan.
Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan.
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan.
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.
http://scma.maragheh.ac.ir/article_34179_e6664cfdb6bfa989ed42e95d00fa66df.pdf
Suzuki generalized nonexpansive mapping, $CAT(0)$ space
iteration process, $Delta$-convergence, Strong convergence
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
113
120
10.22130/scma.2018.78500.364
31199
مقاله پژوهشی
A Certain Class of Character Module Homomorphisms on Normed Algebras
Ali Reza Khoddami
khoddami.alireza@shahroodut.ac.ir
1
Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran.
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.
http://scma.maragheh.ac.ir/article_31199_6d259fdf33f0dff36ef61b8685f930c1.pdf
Character space
Character module homomorphism
Arens products
$varphi-$amenability
$varphi-$contractibility
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
121
130
10.22130/scma.2018.66851.256
31386
مقاله پژوهشی
$L^p$-Conjecture on Hypergroups
Seyyed Mohammad Tabatabaie
sm.tabatabaie@qom.ac.ir
1
Faranak Haghighifar
f.haghighifar@yahoo.com
2
Department of Mathematics, University of Qom, Qom 3716146611, Iran.
Department of Mathematics, University of Qom, Qom 3716146611, Iran.
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.
http://scma.maragheh.ac.ir/article_31386_a8065572b9d5671e77d5b27bb7d5b341.pdf
Locally compact hypergroup
Weight function
Banach algebra
$L^p$-space
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
131
153
10.22130/scma.2017.28223
28223
مقاله پژوهشی
On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces
Veerappan Chandrasekar
vckkc3895@gmail.com
1
Durairaj Sobana
slmsobana@gmail.com
2
Appachi Vadivel
avmaths@gmail.com
3
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002.
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.
http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdf
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
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
155
166
10.22130/scma.2017.28401
28401
مقاله پژوهشی
On Generators in Archimedean Copulas
Vadoud Najjari
fnajjary@yahoo.com
1
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
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.
http://scma.maragheh.ac.ir/article_28401_192ccd348b21007aaea898711ec47ec1.pdf
Copulas
Generator
Dependence concepts
Measures of association
Tails
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
167
177
10.22130/scma.2017.27822
27822
مقاله پژوهشی
Some Properties of Reproducing Kernel Banach and Hilbert Spaces
Saeed Hashemi Sababe
hashemi_1365@yahoo.com
1
Ali Ebadian
ebadian.ali@gmail.com
2
Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran.
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.
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.
http://scma.maragheh.ac.ir/article_27822_298b6f2d56821515a48c545aa71eba1d.pdf
Reproducing kernel
Multipliers
Vector-valued spaces
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
179
186
10.22130/scma.2017.23647
23647
مقاله پژوهشی
On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series
Sanjib Kumar Datta
sanjib_kr_datta@yahoo.co.in
1
Tanmay Biswas
tanmaybiswas_math@rediffmail.com
2
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
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.
http://scma.maragheh.ac.ir/article_23647_e8687ff6925703bafd736c1ac63af7d7.pdf
Vector valued Dirichlet series (VVDS)
Generalized relative Ritt order
Generalized relative Ritt lower order
growth
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
187
194
10.22130/scma.2017.27982
27982
مقاله پژوهشی
On Character Space of the Algebra of BSE-functions
Mohammad Fozouni
fozouni@hotmail.com
1
Department of Mathematics and Statistics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, P.O.Box 163, Gonbad Kavous, Iran.
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.
http://scma.maragheh.ac.ir/article_27982_71b5e40149afa22c43b100c8a10c4984.pdf
Banach algebra
BSE-function
Character space
Locally compact group
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-11-01
12
1
195
254
10.22130/scma.2018.63978.244
34187
مقاله پژوهشی
A New Approach to Nonstandard Analysis
Saghe Abdeljalil
saghe007@gmail.com
1
Cpge de Settat, Lycee Qualifiant Technique PB: 576-Maroc.
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.
http://scma.maragheh.ac.ir/article_34187_1dc006e0051c51f4fe5705b57c2673a0.pdf
Nonstandard analysis
Hyppereals
Internal set theory