@article {
author = {Shojaeifard, Ali Reza and Afshin, Hamid Reza},
title = {On Some Properties of the Max Algebra System Over Tensors},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {1-14},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.30023},
abstract = {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.},
keywords = {Tensor,Max algebra,Left (right) inverse,Direct Product,Eigenvalue},
url = {http://scma.maragheh.ac.ir/article_30023.html},
eprint = {http://scma.maragheh.ac.ir/article_30023_8488dc3d5ca759a228ad5df74c6ba29b.pdf}
}
@article {
author = {Eleiwis Hashoosh, Ayed and Alimohammady, Mohsen and Mohsen Buite, Haiffa},
title = {Inequality Problems of Equilibrium Problems with Application},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {15-26},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.46703.100},
abstract = {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.},
keywords = {Monotone bifunction,Equilibrium problem,KKM technique,Differential inclusion},
url = {http://scma.maragheh.ac.ir/article_30860.html},
eprint = {http://scma.maragheh.ac.ir/article_30860_c0bfb3958a54da11019953e6e510717c.pdf}
}
@article {
author = {Rajakumar, Somasundaram},
title = {On Regular Generalized $\delta$-closed Sets in Topological Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {27-37},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.67135.257},
abstract = {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.},
keywords = {$rgdelta$-closed set,$delta$-closed set,$gdelta$-closed set},
url = {http://scma.maragheh.ac.ir/article_31670.html},
eprint = {http://scma.maragheh.ac.ir/article_31670_8ea53a986f453e9cf09b1cea80e28ed4.pdf}
}
@article {
author = {Khademloo, Somayeh and Khanjany Ghazi, Saeed},
title = {The Solvability of Concave-Convex Quasilinear Elliptic Systems Involving $p$-Laplacian and Critical Sobolev Exponent},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {39-57},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.46462.98},
abstract = {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.},
keywords = {Variational methods,Nehari manifold,Dirichlet boundary condition,Critical Sobolev exponent},
url = {http://scma.maragheh.ac.ir/article_30802.html},
eprint = {http://scma.maragheh.ac.ir/article_30802_0eb7522ae468435b9c608e6dbed0ccdc.pdf}
}
@article {
author = {Alihoseini, Hamidreza and Alimohammadi, Davood},
title = {$(-1)$-Weak Amenability of Second Dual of Real Banach Algebras},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {59-88},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.88929.466},
abstract = {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)$-weakly amenable.},
keywords = {Banach algebra,Banach module,Complexification,Derivation,$(-1)$-Weak amenability},
url = {http://scma.maragheh.ac.ir/article_34113.html},
eprint = {http://scma.maragheh.ac.ir/article_34113_087079dab0bf46a0162249a173f41f59.pdf}
}
@article {
author = {Orouji, Zahra and Aghalary, Rasul},
title = {The Norm Estimates of Pre-Schwarzian Derivatives of Spirallike Functions and Uniformly Convex $\alpha$-spirallike Functions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {89-96},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.68371.262},
abstract = {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 $SP_{p}(\alpha)$.},
keywords = {Pre-Schwarzian derivative,Spiral-like function,Uniformly convex function},
url = {http://scma.maragheh.ac.ir/article_31361.html},
eprint = {http://scma.maragheh.ac.ir/article_31361_c141090df86a41f99564a5e04602b904.pdf}
}
@article {
author = {Ullah, Kifayat and Khan, Hikmat and Arshad, Muhammad},
title = {Numerical Reckoning Fixed Points in $CAT(0)$ Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {97-111},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.62911.238},
abstract = {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.},
keywords = {Suzuki generalized nonexpansive mapping, $CAT(0)$ space,iteration process, $Delta$-convergence, Strong convergence},
url = {http://scma.maragheh.ac.ir/article_34179.html},
eprint = {http://scma.maragheh.ac.ir/article_34179_e6664cfdb6bfa989ed42e95d00fa66df.pdf}
}
@article {
author = {Khoddami, Ali Reza},
title = {A Certain Class of Character Module Homomorphisms on Normed Algebras},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {113-120},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.78500.364},
abstract = {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.},
keywords = {Character space,Character module homomorphism,Arens products,$varphi-$amenability,$varphi-$contractibility},
url = {http://scma.maragheh.ac.ir/article_31199.html},
eprint = {http://scma.maragheh.ac.ir/article_31199_6d259fdf33f0dff36ef61b8685f930c1.pdf}
}
@article {
author = {Tabatabaie, Seyyed Mohammad and Haghighifar, Faranak},
title = {$L^p$-Conjecture on Hypergroups},
journal = {Sahand Communications in Mathematical Analysis},
volume = {12},
number = {1},
pages = {121-130},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.66851.256},
abstract = {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