HYBRID-EXTRAGRADIENT TYPE METHODS FOR A GENERALIZED EQUILIBRIUM PROBLEM AND VARIATIONAL INEQUALITY PROBLEMS OF NONEXPANSIVE SEMIGROUPS

被引：0

作者：

Katchang, Phayap ^{[2
]}

Kumam, Poom ^{[1
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, Bangkok 10140, Thailand

[2] Rajamangala Univ Technol Lanna Tak, Fac Sci & Agr Technol, Dept Math & Stat, Tak 63000, Thailand

来源：

FIXED POINT THEORY | 2012年 / 13卷 / 01期

关键词：

Generalized equilibrium problem; variational inequalities; Strong convergence; Nonexpansive; Semigroup; Hilbert space; Extragradient method; Hybrid method; WEAK-CONVERGENCE THEOREMS; MAPPINGS; APPROXIMATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study and introduce modified mann iterative algorithms for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of variational inequalities and the set of fixed points for nonexpansive semigroups. Then, we prove strong convergence theorems in a real Hilbert space by using the hybrid-extragradient type methods in the mathematical programming under some appropriate control conditions.

引用

页码：107 / 120

页数：14

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