Weak Convergence Theorem by an Extragradient Method for Variational Inequality, Equilibrium and Fixed Point Problems

被引：0

作者：

Jaiboon, C. ^{[1
]}

Kumam, P. ^{[1
]}

Humphries, U. W. ^{[1
]}

机构：

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

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2009年 / 32卷 / 02期

关键词：

Extragradient method; nonexpansive mapping; k-Lipschitz continuous mapping; variational inequality problem; equilibrium problem; fixed points; NONEXPANSIVE-MAPPINGS; MONOTONE MAPPINGS; ITERATIVE METHOD;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new iterative scheme for finding the common element of the set of: fixed points; equilibrium; and the variational inequality problems for monotone and k-Lipschitz continuous mappings. The iterative process is based on the so-called extragradient method. We show that the sequence converges weakly to a common element of the above three sets under some parameter controlling conditions. This main theorem extends a recent result of Nadezhkiha and Takahashi [7].

引用

页码：173 / 185

页数：13

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