Weak and strong convergence theorems for countable Lipschitzian mappings and its applications

被引：37

作者：

Nisrakoo, Weerayuth ^{[2
]}

Saejung, Satit ^{[1
]}

机构：

[1] Khon Kaen Univ, Dept Math, Khon Kaen 40002, Thailand

[2] Ubon Rajathanee Univ, Dept Math Stat & Comp, Ubon Ratchathani 34190, Thailand

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 08期

关键词：

fixed point theorem; Lipschitzian mapping; nonexpansive mapping; equilibrium problem; variational inequality;

D O I：

10.1016/j.na.2007.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use Mann's iteration and the hybrid method in mathematical programming to obtain weak and strong convergence to common fixed points of a countable family of Lipschitzian mappings. Finally, we apply our results to solve the equilibrium problems and variational inequalities for continuous monotone mappings. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2695 / 2708

页数：14

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