Strong convergence theorems for a generalized mixed equilibrium problem and variational inequality problems

被引：3

作者：

Jeong, Jae Ug ^{[1
]}

机构：

[1] Dong Eui Univ, Dept Math, Pusan 614714, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2013年

关键词：

fixed point; inverse strongly monotone mapping; variational inequality; equilibrium problem; FIXED-POINT PROBLEMS; VISCOSITY APPROXIMATION METHODS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; EXTRAGRADIENT METHOD; ITERATIVE ALGORITHM; MONOTONE MAPPINGS; OPTIMIZATION; SYSTEM;

D O I：

10.1186/1687-1812-2013-65

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new iterative scheme based on the extragradient-like method for finding a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a strongly positive linear bounded operator and the set of solutions of a mixed equilibrium problem is proposed. A strong convergence theorem for this iterative scheme in Hilbert spaces is established. Our results extend recent results announced by many others. MSC: 49J30, 49J40, 47J25, 47H09.

引用

页数：21

共 22 条

[1]

[Anonymous], B AM MATH SOC

[2]

Blum E., 1994, Math. Stud., V63, P127

[3] Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities [J].