Strong convergence theorems for relatively nonexpansive mappings in a Banach space

被引：110

作者：

Qin, Xiaolong ^{[1
]}

Su, Yongfu ^{[1
]}

机构：

[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 06期

关键词：

relatively nonexpansive mapping; nonexpansive mapping; generalized projection; asymptotic fixed point;

D O I：

10.1016/j.na.2006.08.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove two strong convergence theorems of modified Ishikawa iteration and modified Halpern iteration for relatively nonexpansive mappings in a Banach space. Our results extend and improve the recent ones announced by Nakajo, Takahashi, Kim, Martinez-Yanes, Xu and some others. (C) 2006 Elsevier Ltd. All rights reserved.

引用

页码：1958 / 1965

页数：8

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