SOME MODIFIED EXTRAGRADIENT METHODS FOR COMMON SOLUTIONS OF GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINTS OF NONEXPANSIVE MAPPINGS

被引：0

作者：

Peng, Jian-Wen ^{[2
]}

Wong, Ngai-Ching ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Chongqing Normal Univ, Sch Math, Chongqing 400047, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2011年 / 15卷 / 01期

基金：

美国国家科学基金会;

关键词：

Generalized equilibrium problem; Extragradient method; Hybrid method; Nonexpansive mapping; Strong convergence; Weak convergence; STRONG-CONVERGENCE THEOREMS; VARIATIONAL INEQUALITY; MONOTONE MAPPINGS; ITERATIVE METHOD; HILBERT-SPACES; OPTIMIZATION; FAMILIES; WEAK;

D O I：

10.11650/twjm/1500406179

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce some new iterative schemes based on the extragradient method (and the hybrid method) for finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of a family of nonexpansive mappings, and the set of solutions of the variational inequality for a monotone, Lipschitz continuous mapping in Hilbert spaces. We obtain some strong convergence theorems and weak convergence theorems. The results in this paper generalize, improve and unify some well-known convergence theorems in the literature.

引用

页码：353 / 363

页数：11

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