Approximation of nearest common fixed point of nonexpansive mappings in hilbert spaces

被引：2
|
作者：
Shi Sheng Zhang [1 ]
Lee, H. W. Joseph
Chi Kin Chan
机构：
[1] Yibin Univ, Dept Math, Yibin 644007, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2007年 / 23卷 / 10期
关键词：
common fixed point; family of nonexpansive mappings; nearest point projection; iterative scheme;
D O I：
10.1007/s10114-005-0821-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study the convergence problem of the iteration scheme x(n+1) = lambda(n+1)y + (1 - lambda(n+1))T(n+1)x(n) for a family of infinitely many nonexpansive mappings T-1, T-2,... in a Hilbert space. It is proved that under suitable conditions this iteration scheme converges strongly to the nearest common fixed point of this family of nonexpansive mappings. The results presented in this paper extend and improve some recent results.
引用
收藏
页码：1889 / 1896
页数：8
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