The common minimal-norm fixed point of a finite family of nonexpansive mappings

被引：18

作者：

Liu, Xia ^{[1
]}

Cui, Yanlan ^{[1
]}

机构：

[1] Yanan Univ, Dept Math & Comp Sci, Yanan 716000, Shaaxi, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 01期

关键词：

Nonexpansive mapping; Projection; Cyclic; Parallel; Fixed point; Minimal norm; ITERATIVE METHOD; STRONG-CONVERGENCE; APPROXIMATION;

D O I：

10.1016/j.na.2010.02.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a finite family of nonexpansive mappings which are defined on a closed convex subset of a Hilbert space H. Suppose the set of common fixed points of this family is nonempty. We then address the problem of finding the minimum-norm element of this common fixed point set. We introduce both cyclic and parallel iteration methods to find this minimal-norm element. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：76 / 83

页数：8

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