On problem of nearest common fixed point of nonexpansive mappings

被引：0
|
作者：
Zhang Shi-sheng [1 ]
机构：
[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2006年 / 27卷 / 07期
关键词：
sequence of nonexpansive mappings; viscosity approximation; common fixed point; demi-closed principle; weakly sequentially continuous duality mapping; normalized duality mapping;
D O I：
10.1007/s10483-006-0703-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose is by using the viscosity approximation method to study the convergence problem of the iterative scheme for an infinite family of nonexpansive mappings and a given contractive mapping in a reflexive Banach space. Under suitable conditions, it was proved that the iterative sequence converges strongly to a common fixed point which was also the unique solution of some variational inequality in a reflexive Banach space. The results presented extend and improve some recent results.
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页码：883 / 889
页数：7
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