Perturbation techniques for nonexpansive mappings with applications

被引：41

作者：

Lopez, Genaro ^{[2
]}

Martin, Victoria ^{[2
]}

Xu, Hong-Kun ^{[1
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Univ Seville, Dept Anal Matemat, E-41080 Seville, Spain

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 04期

关键词：

Split feasibility problem; Multiple-sets split feasibility problem; Projection; Nonexpansive mapping; Sunny nonexpansive retraction; Fixed point; Accretive operator; Iterative algorithm; Perturbation; Duality map; FIXED-POINTS; STRONG-CONVERGENCE; ITERATIVE ALGORITHMS; MONOTONE-OPERATORS; THEOREMS; APPROXIMATION;

D O I：

10.1016/j.nonrwa.2008.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Perturbation techniques for nonexpansive mappings are studied. An iterative algorithm involving perturbed mappings in a Banach space is proposed and proved to be strongly convergent to a fixed point of the original mapping. These techniques are applied to solve the split feasibility problem and the multiple-sets split feasibility problem, and to find zeros of accretive operators. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2369 / 2383

页数：15

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