Iterative algorithms for finding minimum-norm fixed point of nonexpansive mappings and applications

被引：2
|
作者：
Tang, Yuchao [1 ,2 ]
Liu, Liwei [1 ]
机构：
[1] NanChang Univ, Dept Math, Nanchang 330031, Peoples R China
[2] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 08期
关键词：
minimum-norm; split feasibility problem; Nonexpansive mappings; convex optimization; STRONG-CONVERGENCE THEOREMS; PROJECTION METHODS; APPROXIMATION; KRASNOSELSKII; SEQUENCES; SET;
D O I：
10.1002/mma.2874
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the problem of finding minimum-norm fixed point of nonexpansive mappings. We present two types of iteration methods (one is implicit, and the other is explicit). We establish strong convergence theorems for both methods. Some applications are given regarding convex optimization problems and split feasibility problems. These results improve some known results existing in the literatures. Copyright (c) 2013 John Wiley & Sons, Ltd.
引用
收藏
页码：1137 / 1146
页数：10
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