Hybrid algorithm for common best proximity points of some generalized nonself nonexpansive mappings

被引：11
|
作者：
Bunlue, Nuttawut [1 ]
Suantai, Suthep [2 ]
机构：
[1] Chiang Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[2] Chiang Mai Univ, Fac Sci, Dept Math, Ctr Excellence Math & Appl Math, Chiang Mai, Thailand
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 17期
关键词：
Berinde nonexpansive; best proximally nonexpansive; common best proximity point; hybrid algorithms; STRONG-CONVERGENCE THEOREMS; EXISTENCE; WEAK; PAIRS;
D O I：
10.1002/mma.5227
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first introduce a new class of generalized nonself nonexpansive mappings, called C-Berinde nonexpansive mappings, and study common best proximity point of two mappings in this class. We propose two hybrid algorithms for finding common best proximity points of two best proximally nonexpansive mappings for which one of them is C-Berinde nonself nonexpansive mapping. Strong convergence analysis of the proposed methods are discussed in a real Hilbert space. Moreover, we also give a numerical example to support our main results.
引用
收藏
页码：7655 / 7666
页数：12
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