Iterative selection methods for common fixed point problems

被引：63
|
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
收藏
页码：1020 / 1035
页数：16
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