A NOTE ON EXPLICIT ITERATIVE CONSTRUCTIONS OF SUNNY NONEXPANSIVE RETRACTIONS IN BANACH SPACES

被引：0
|
作者：
Aleyner, Arkady [1 ]
Reich, Simeon [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2005年 / 6卷 / 03期
关键词：
Common fixed point; Gateaux differentiable norm; nonexpansive mapping; sequential algorithmic scheme; sunny nonexpansive retraction;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An explicit, general algorithmic framework for the iterative construction of the unique sunny nonexpansive retraction onto the common fixed point set of a commuting family of nonexpansive mappings in a Banach space is proposed and a proof of convergence is given. It is shown that the proposed framework leads to an improvement of our own recent result regarding the same problem.
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页码：525 / 533
页数：9
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