Sirous Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
[ 1 ] - Endpoints of multi-valued cyclic contraction mappings
Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).
[ 2 ] - The Center and Periphery of Composite Graphs
The center (periphery) of a graph is the set of vertices with minimum (maximum) eccentricity. In this paper, the structure of centers and peripheries of some classes of composite graphs are determined. The relations between eccentricity, radius and diameter of such composite graphs are also investigated. As an application we determine the center and periphery of some chemical graphs such as nan...
[ 3 ] - COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION
n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results as well as ´Ciri´c results. An example is given to support the usability of our results.
[ 4 ] - Some properties and results for certain subclasses of starlike and convex functions
In 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.
[ 5 ] - A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators
In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of c...
[ 6 ] - Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems
In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.
[ 7 ] - Weak Convergence of Mann Iterative Algorithm for two Nonexpansive mappings
The mann fixed point algorithm play an importmant role in the approximation of fixed points of nonexpansive operators. In this paper, by considering new conditions, we prove the weak convergence of mann fixed point algorithm, for finding a common fixed point of two nonexpansive mappings in real Hilbert spaces. This results extend the privious results given by Kanzow and Shehu. Finally, we give ...
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