WEAK CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS WITH NONLINEAR OPERATORS IN HILBERT SPACES

被引：0

作者：

Dhompongsa, S. ^{[1
]}

Takahashi, W. ^{[2
]}

Yingtaweesittikul, H. ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

FIXED POINT THEORY | 2011年 / 12卷 / 02期

关键词：

Nonspreading mappings; monotone; Lipschitz-continuous mappings; variational inequalities; fixed points; NONEXPANSIVE-MAPPINGS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce an iterative sequence for finding a common element of the set of fixed points of a nonspreading mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality problem for a monotone and Lipschitz-continuous mapping. We show that the sequence converges weakly to a common element of the above three sets.

引用

页码：309 / 320

页数：12

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