WEAK CONVERGENCE THEOREMS FOR FAMILIES OF NONLINEAR MAPPINGS WITH GENERALIZED PARAMETERS

被引：3
|
作者：
Chuang, Chih-Sheng [1 ]
Takahashi, Wataru [1 ,2 ,3 ]
机构：
[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[2] Keio Univ, Keio Res & Educ Ctr Nat Sci, Tokyo, Japan
[3] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 152, Japan
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 01期
关键词：
Equilibrium problem; Firmly nonexpansive mapping; Fixed point; Split feasibility problem; Zero point; 47H05; 47H07; 47H10; COMMON FIXED-POINTS; NONEXPANSIVE-MAPPINGS; HILBERT-SPACES; BANACH-SPACES; APPROXIMATION;
D O I：
10.1080/01630563.2014.930483
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we first introduce new families of nonlinear mappings in a Hilbert space. Next, we consider iterative processes for the families with generalized parameters and then prove weak convergence theorems for finding common fixed points of the families. As applications, we obtain weak convergence theorems for finding solutions of variational inclusion problems, equilibrium problems, and split feasibility problems in Hilbert spaces. Our results generalize and improve related results in the literatures.
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页码：41 / 54
页数：14
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