A Note on Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

被引：0
|
作者：
Shuang Wang [1 ]
机构：
[1] Hubei Normal Univ, Dept Math, Huangshi 435002, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2010年
基金：
美国国家科学基金会;
关键词：
Differential Geometry; Nonexpansive Mapping; Strong Convergence; Computational Biology; Full Article;
D O I：
10.1155/2010/805326
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper by Hu in 2008, the author proved a strong convergence result for nonexpansive mappings using a modified Halpern's iteration algorithm. Unfortunately, the case lim(n ->infinity) beta(n) = 1 does not guarantee the strong convergence of the sequence {x(n)}. In this note, we provide a counter-example to the theorem. Copyright (C) 2010 Shuang Wang.
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页数：2
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