University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 On Some Properties of the Max Algebra System Over Tensors 1 14 30023 10.22130/scma.2018.30023 EN Ali Reza Shojaeifard Department of Mathematics and Statistics, Faculty of Basic Sciences, Imam Hossein Comprehensive University, Tehran, Iran. Hamid Reza Afshin Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of Iran. Journal Article 2017 04 06 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 Inequality Problems of Equilibrium Problems with Application 15 26 30860 10.22130/scma.2018.46703.100 EN Ayed Eleiwis Hashoosh Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq. Mohsen Alimohammady Department of mathematics, University of Mazandaran, Babolsar, Iran. Haiffa Mohsen Buite Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq. Journal Article 2016 08 05 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 On Regular Generalized \$delta\$-closed Sets in Topological Spaces 27 37 31670 10.22130/scma.2018.67135.257 EN Somasundaram Rajakumar Department of Science and Humanities, Krishnasamy College of Engineering and Technology, Cuddalore, Tamil Nadu-608 002, India. Journal Article 2017 06 29 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving \$p\$-Laplacian and Critical Sobolev Exponent 39 57 30802 10.22130/scma.2018.46462.98 EN Somayeh Khademloo Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran. Saeed Khanjany Ghazi Department of Basic Sciences, Babol Noushirvani University of Technology, 47148-71167, Babol, Iran. Journal Article 2016 07 31 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 \$(-1)\$-Weak Amenability of Second Dual of Real Banach Algebras 59 88 34113 10.22130/scma.2018.88929.466 EN Hamidreza Alihoseini Department of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran. Davood Alimohammadi Department of Mathematics, Faculty of Science, Arak University, 38156-8-8349, Arak, Iran. Journal Article 2018 06 30 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_087079dab0bf46a0162249a173f41f59.pdf
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex \$alpha\$-spirallike Functions 89 96 31361 10.22130/scma.2018.68371.262 EN Zahra Orouji Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. Rasul Aghalary Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. Journal Article 2017 07 18 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 Numerical Reckoning Fixed Points in \$CAT(0)\$ Spaces 97 111 34179 10.22130/scma.2018.62911.238 EN Kifayat Ullah Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan. Hikmat Khan Department of Mathematics, University of Science and Technology Bannu, KPK Pakistan. Muhammad Arshad Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan. Journal Article 2017 04 27 In this paper, first we use an example to show the efficiency of \$M\$ iteration process introduced by Ullah and Arshad  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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 A Certain Class of Character Module Homomorphisms on Normed Algebras 113 120 31199 10.22130/scma.2018.78500.364 EN Ali Reza Khoddami Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran. Journal Article 2018 01 01 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 \$L^p\$-Conjecture on Hypergroups 121 130 31386 10.22130/scma.2018.66851.256 EN Seyyed Mohammad Tabatabaie Department of Mathematics, University of Qom, Qom 3716146611, Iran. 0000-0003-4392-2577 Faranak Haghighifar Department of Mathematics, University of Qom, Qom 3716146611, Iran. Journal Article 2017 06 24 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 On Fuzzy \$e\$-open Sets, Fuzzy \$e\$-continuity and Fuzzy \$e\$-compactness in Intuitionistic Fuzzy Topological Spaces 131 153 28223 10.22130/scma.2017.28223 EN Veerappan Chandrasekar Department of Mathematics, Kandaswami Kandar&#039;s College, P-velur-638 182, Tamil Nadu, India. Durairaj Sobana Department of Mathematics, Kandaswami Kandar&#039;s College, P-velur-638 182, Tamil Nadu, India. Appachi Vadivel Department of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002. 0000-0001-5970-035X Journal Article 2017 01 08 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 On Generators in Archimedean Copulas 155 166 28401 10.22130/scma.2017.28401 EN Vadoud Najjari Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran. Journal Article 2017 02 06 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 Some Properties of Reproducing Kernel Banach and Hilbert Spaces 167 177 27822 10.22130/scma.2017.27822 EN Saeed Hashemi Sababe Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran. 0000-0003-1167-5006 Ali Ebadian Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. Journal Article 2016 10 22 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series 179 186 23647 10.22130/scma.2017.23647 EN Sanjib Kumar Datta Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India. Tanmay Biswas Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India. Journal Article 2016 06 25 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 On Character Space of the Algebra of BSE-functions 187 194 27982 10.22130/scma.2017.27982 EN Mohammad Fozouni Department of Mathematics and Statistics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, P.O.Box 163, Gonbad Kavous, Iran. Journal Article 2016 10 31 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
University of Maragheh Sahand Communications in Mathematical Analysis 2322-5807 12 1 2018 11 01 A New Approach to Nonstandard Analysis 195 254 34187 10.22130/scma.2018.63978.244 EN Saghe Abdeljalil Cpge de Settat, Lycee Qualifiant Technique PB: 576-Maroc. Journal Article 2017 05 13 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
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