Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings

被引：91
|
作者：
Zeng, LC
Yao, JC [1 ]
机构：
[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 11期
关键词：
nonexpansive maps; implicit iteration process with perturbed mapping; fixed points; Opial's property; demiclosedness principle;
D O I：
10.1016/j.na.2005.08.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we propose a new implicit iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings. We establish some convergence theorems for this implicit iteration scheme. In particular, necessary and sufficient conditions for strong convergence of this implicit iteration scheme were obtained. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2507 / 2515
页数：9
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