University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701Some properties and results for certain subclasses of starlike and convex functions1152424510.22130/scma.2017.24245ENMohammad TaatiDepartment of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.Sirous MoradiDepartment of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran.Shahram NajafzadehDepartment of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.Journal Article20160904In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $; meromorphic and starlike functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701On some results of entire functions of two complex variables using their relative lower order17262417110.22130/scma.2017.24171ENSanjib Kumar DattaDepartment of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.Tanmay BiswasRajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.Golok Kumar MondalDhulauri Rabindra Vidyaniketan (H.S.), Vill +P.O.-Dhulauri, P.S.-Domkal Dist.-Murshidabad , PIN-742308, West Bengal, India.Journal Article20160618Some basic properties relating to relative lower order of entire functions of two complex variables are discussed in this paper.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701On the reducible $M$-ideals in Banach spaces27372387310.22130/scma.2017.23873ENSajad KhorshidvandpourDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.Abdolmohammad AminpourDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran.Journal Article20161119The object of the investigation is to study reducible $M$-ideals in Banach spaces. It is shown that if the number of $M$-ideals in a Banach space $X$ is $n(<infty)$, then the number of reducible $M$-ideals does not exceed of $frac{(n-2)(n-3)}{2}$. Moreover, given a compact metric space $X$, we obtain a general form of a reducible $M$-ideal in the space $C(X)$ of continuous functions on $X$. The intersection of two $M$-ideals is not necessarily reducible. We construct a subset of the set of all $M$-ideals in a Banach space $X$ such that the intersection of any pair of it's elements is reducible. Also, some Banach spaces $X$ and $Y$ for which $K(X,Y)$ is not a reducible $M$-ideal in $L(X,Y)$, are presented. Finally, a weak version of reducible $M$-ideal called semi reducible $M$-ideal is introduced.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701Some notes for topological centers on the duals of Banach algebras39482364810.22130/scma.2017.23648ENKazem Haghnejad AzarDepartment of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.Masoumeh Mousavi AmiriDepartment of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran.Journal Article20160810We introduce the weak topological centers of left and right module actions and we study some of their properties. We investigate the relationship between these new concepts and the topological centers of of left and right module actions with some results in the group algebras.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701Fixed and common fixed points for $(psi,varphi)$-weakly contractive mappings in $b$-metric spaces49622652410.22130/scma.2017.26524ENHamid FarajiDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.Kourosh NourouziFaculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.Journal Article20170121In this paper, we give a fixed point theorem for $(psi,varphi)$-weakly contractive mappings in complete $b$-metric spaces. We also give a common fixed point theorem for such mappings in complete $b$-metric spaces via altering functions. The given results generalize two known results in the setting of metric spaces. Two examples are given to verify the given results.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701Certain subclasses of bi-univalent functions associated with the Aghalary-Ebadian-Wang operator63732595210.22130/scma.2017.25952ENHamid ShojaeiDepartment of Mathematics, Payame Noor University, Tehran, Iran.Journal Article20170427In this paper, we introduce and investigate two new subclasses of the functions class $ Sigma $ of bi-univalent functions defined in the open unit disk, which are associated with the Aghalary-Ebadian-Wang operator. We estimate the coefficients $|a_{2} |$ and $|a_{3} |$ for functions in these new subclasses. Several consequences of the result are also pointed out.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701$G$-asymptotic contractions in metric spaces with a graph and fixed point results75832394610.22130/scma.2017.23946ENKamal FallahiDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.0000-0003-3400-4424Journal Article20170114In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metric spaces endowed with a graph.University of MaraghehSahand Communications in Mathematical Analysis2322-580707120170701Coupled fixed point results for $alpha$-admissible Mizoguchi-Takahashi contractions in $b$-metric spaces with applications851042588910.22130/scma.2017.25889ENVahid ParvanehDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran.Nawab HussainDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia.Hasan HosseinzadehDepartment of Mathematics, Ardebil Branch, Islamic Azad University, Ardebil, Iran.0000-0002-1723-4140Peyman SalimiPeyman Salimi: Young Researchers and Elite Club, Rasht Branch,Islamic Azad University, Rasht, Iran.Journal Article20161118The aim of this paper is to establish some fixed point theorems for $alpha$-admissible Mizoguchi-Takahashi contractive mappings defined on a ${b}$-metric space which generalize the results of Gordji and Ramezani cite{Roshan6}. As a result, we obtain some coupled fixed point theorems which generalize the results of '{C}iri'{c} {et al.} cite{Ciric3}. We also present an application in order to illustrate the effectiveness of our results.