Iterative Methods for Family of Strictly Pseudocontractive Mappings and System of Generalized Mixed Equilibrium Problems and Variational Inequality Problems

被引：10

作者：

Shehu, Yekini ^{[1
]}

机构：

[1] African Univ Sci & Technol, Math Inst, Abuja, Nigeria

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

FIXED-POINT PROBLEMS; VISCOSITY APPROXIMATION METHODS; STRONG-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; PSEUDO-CONTRACTIONS; MONOTONE-OPERATORS; OPTIMIZATION PROBLEMS; WEAK-CONVERGENCE; HYBRID METHODS;

D O I：

10.1155/2011/852789

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new iterative scheme by hybrid method for finding a common element of the set of common fixed points of infinite family of k-strictly pseudocontractive mappings and the set of common solutions to a system of generalized mixed equilibrium problems and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to a common element of the three above described sets. We give an application of our results. Our results extend important recent results from the current literature.

引用

页数：22

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