Shrinking projection methods for firmly nonexpansive mappings

被引：23

作者：

Aoyama, Koji ^{[1
]}

Kohsaka, Fumiaki ^{[2
]}

Takahashi, Wataru ^{[3
]}

机构：

[1] Chiba Univ, Dept Econ, Inage Ku, Chiba 2638522, Japan

[2] Oita Univ, Dept Comp Sci & Intelligent Syst, Oita 8701192, Japan

[3] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Shrinking projection method; Firmly nonexpansive mapping; Fixed point; STRONG-CONVERGENCE THEOREMS; OPERATORS;

D O I：

10.1016/j.na.2009.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study the shrinking projection method for firmly nonexpansive mappings. The method gives us a strong convergence iteration for a family of firmly nonexpansive mappings and also permit us to obtain a sufficient condition for the existence of a fixed point of a firmly nonexpansive mapping. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：E1626 / E1632

页数：7

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