On problem of nearest common fixed point of nonexpansive mappings

被引：0
|
作者：
Shi-sheng Zhang
机构：
[1] Yibin University,Department of Mathematics
[2] Sichuan University,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2006年 / 27卷
关键词：
sequence of nonexpansive mappings; viscosity approximation; common fixed point; demi-closed principle; weakly sequentially continuous duality mapping; normalized duality mapping; O177.91; 47H05; 47H10; 47H17;
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学科分类号：
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：6
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