ON PROBLEM OF NEAREST COMMON FIXED POINT OF NONEXPANSIVE MAPPINGS

被引：0
|
作者：
张石生
机构：
[1] Department of Mathematics Yibin University Yibin 644007
[2] P. R.China
[3] Department of Mathematics Sichuan University Chengdu 610064
[4] Sichuan Province P. R. China
[5] Sichuan Province
来源：
Applied Mathematics and Mechanics(English Edition) | 2006年 / 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：
暂无
中图分类号：
O177.91 [非线性泛函分析];
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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