Iterative selection methods for common fixed point problems

被引：64

作者：

Hirstoaga, Sever A. ^{[1
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, F-75005 Paris, France

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 02期

关键词：

fixed point; quasi-nonexpansive operator; maximal monotone operator; equilibrium problem; iterative methods;

D O I：

10.1016/j.jmaa.2005.12.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many problems encountered in applied mathematics can be recast as the problem of selecting a particular common fixed point of a countable family of quasi-nonexpansive operators in a Hilbert space. We propose two iterative methods to solve such problems. Our convergence analysis is shown to cover a variety of existing results in this area. Applications to solving monotone inclusion and equilibrium problems are considered. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：1020 / 1035

页数：16

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