Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings

被引：8

作者：

Jung, Jong Soo ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

基金：

新加坡国家研究基金会;

关键词：

mixed equilibrium problem; k-strictly pseudocontractive mapping; nonexpansive mapping; fixed points; rho-Lipschitzian and eta-strongly monotone operator; variational inequality; PSEUDO-CONTRACTIVE MAPPINGS; FIXED-POINTS; STRONG-CONVERGENCE; THEOREMS;

D O I：

10.1186/1687-1812-2012-184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce new implicit and explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self mapping in Hilbert spaces. We establish results of the strong convergence of the sequences generated by the proposed schemes to a common point of two sets, which is a solution of a certain variational inequality. Our results extend and improve the corresponding results given by many authors recently in this area.

引用

页数：19

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[J]. Fixed Point Theory and Applications, 2012
[2] Iterative Methods for Family of Strictly Pseudocontractive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems
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