Best Proximity Points and Fixed Points Results for Noncyclic and Cyclic Fisher Quasi-contractions

被引：7
作者：
Safari-Hafshejani, Akram [1 ]
Amini-Harandi, Alireza [2 ]
Fakhar, Majid [2 ]
机构：
[1] Payame Noor Univ, Dept Pure Math, Tehran, Iran
[2] Univ Isfahan, Dept Math, Esfahan, Iran
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2019年 / 40卷 / 05期
关键词：
Best proximity point; fixed point; noncyclic and cyclic Fisher quasi-contraction mappings; WUC property; THEOREMS; EXISTENCE; MAPPINGS; BANACH;
D O I：
10.1080/01630563.2019.1566246
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, in the setting of metric spaces we introduce the notions of noncyclic and cyclic Fisher quasi-contraction mappings. We establish the existence of an optimal pair of fixed points for a noncyclic Fisher quasi-contraction mapping and iterative algorithms are furnished to determine such optimal pair of fixed points. For a cyclic Fisher quasi-contraction mapping, we also study the existence of best proximity points. Presented results extend and improve some recent results in the literature.
引用
收藏
页码：603 / 619
页数：17
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