An Iterative Method for Generalized Equilibrium Problems, Fixed Point Problems and Variational Inequality Problems

被引：11

作者：

Liu, Qing-you ^{[2
]}

Zeng, Wei-you ^{[1
]}

Huang, Nan-jing ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[2] SW Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Sichuan, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2009年

基金：

中国国家自然科学基金;

关键词：

STRONG-CONVERGENCE THEOREMS; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; MONOTONE MAPPINGS; HILBERT-SPACE; ALGORITHMS;

D O I：

10.1155/2009/531308

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of infinitely many nonexpansive mappings, and the set of solutions of the variational inequality for alpha-inverse-strongly monotone mappings in Hilbert spaces. We give some strong-convergence theorems under mild assumptions on parameters. The results presented in this paper improve and generalize the main result of Yao et al. (2007). Copyright (C) 2009 Qing-you Liu et al.

引用

页数：20

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