Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces

被引：57
|
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 MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 343卷 / 01期
基金：
以色列科学基金会;
关键词：
block-iterative algorithmic scheme; common fixed point; nonexpansive mapping; relaxation method;
D O I：
10.1016/j.jmaa.2008.01.087
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish convergence theorems for two different block-iterative methods for solving the problem of finding a point in the intersection of the fixed point sets of a finite number of nonexpansive mappings in Hilbert and in finite-dimensional Banach spaces, respectively. (C) 2008 Elsevier Inc. All rights reserved.
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页码：427 / 435
页数：9
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