A New Iterative Method for Equilibrium Problems and Fixed Point Problems

被引：1

作者：

Latif, Abdul ^{[1
]}

Eslamian, Mohammad ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Mazandaran Univ Sci & Technol, Dept Math, Behshahr, Iran

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

VISCOSITY APPROXIMATION METHODS; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; MONOTONE-OPERATORS; SEMIGROUPS;

D O I：

10.1155/2013/178053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space. We establish strong convergence theorems of the new iterative method for the solution of the variational inequality problem which is the optimality condition for the minimization problem. Our results improve and generalize the corresponding recent results of Anh (2012), Cianciaruso et al. (2010), and many others.

引用

页数：9

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