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
收藏
页码：107 / 120
页数：14
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