Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

被引：6

作者：

Nakprasit, Kittikorn ^{[1
]}

Nilsrakoo, 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：

FIXED POINT THEORY AND APPLICATIONS | 2008年 / 2008卷 / 1期

关键词：

D O I：

10.1155/2008/732193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the implicit iteration and the hybrid method in mathematical programming, we prove weak and strong convergence theorems for finding common fixed points of a countable family of nonexpansive mappings in a real Hilbert space. Our results include many convergence theorems by Xu and Ori (2001) and Zhang and Su (2007) as special cases. We also apply our method to find a common element to the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem. Finally, we propose an iteration to obtain convergence theorems for a continuous monotone mapping. Copyright (C) 2008 Kittikorn Nakprasit et al.

引用

页数：18

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