Weak and strong convergence of Krasnoselski-Mann iteration for hierarchical fixed point problems

被引：61

作者：

Yao, Yonghong ^{[1
]}

Liou, Yeong-Cheng ^{[2
]}

机构：

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

[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan

来源：

INVERSE PROBLEMS | 2008年 / 24卷 / 01期

关键词：

D O I：

10.1088/0266-5611/24/1/015015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a method for approximating a solution of the following fixed point problem: find (x) over tilde is an element of H; (x) over tilde = ( proj(Fix(T)) center dot P) (x) over tilde, where H is a Hilbert space, P and T are two nonexpansive mappings on a closed convex subset C and projFix( T) denotes the metric projection on the set of fixed points of T. First, we prove a weak convergence theorem which extends and improves a recent result announced by Moudafi ( 2007 Inverse Problems 23 1635 - 40). Secondly, when P is a contraction, a special case of nonexpansive mappings, we prove a strong convergence result under different restrictions on parameters for solving the above fixed point problem.

引用

页数：8

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