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.
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页码：76 / 83
页数：8
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