A viscosity approximation method for equilibrium problems, fixed point problems of nonexpansive mappings and a general system of variational inequalities

被引：13

作者：

Plubtieng, S. ^{[1
]}

Thammathiwat, T. ^{[1
]}

机构：

[1] Naresuan Univ, Dept Math, Fac Sci, Phitsanulok 65000, Thailand

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2010年 / 46卷 / 03期

关键词：

Nonexpansive mapping; Equilibrium problem; Fixed point; General system of variational inequality; STRONG-CONVERGENCE THEOREMS; MONOTONE MAPPINGS; EXTRAGRADIENT METHOD; ITERATIVE METHOD; WEAK; SPACE;

D O I：

10.1007/s10898-009-9448-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we introduce and study a new iterative scheme for finding the common element of the set of common fixed points of a sequence of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the general system of variational inequality for alpha and mu-inverse-strongly monotone mappings. We show that the sequence converges strongly to a common element of the above three sets under some parameters controlling conditions. This main theorem extends a recent result of Ceng et al. (Math Meth Oper Res 67:375-390, 2008) and many others.

引用

页码：447 / 464

页数：18

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