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.

引用

页码：427 / 435

页数：9

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