A best proximity point theorem for α-proximal Geraghty non-self mappings

被引：0
|
作者：
Ayari M.I. [1 ]
机构：
[1] Department of Mathematics and Computer Science, Institut National DES Sciences Appliquée et de Technologie de Tunis, Cartage University, Tunis
来源：
Fixed Point Theory and Applications | / 2019卷 / 1期
关键词：
Best proximity points; α-Proximal Geraghty non-self mappings on metric spaces;
D O I：
10.1186/s13663-019-0661-8
中图分类号：
学科分类号：
摘要：
In this paper, we search some best proximity point results for a new class of non-self mappings T: A⟶ B called α-proximal Geraghty mappings. Our results extend many recent results appearing in the literature. We suggest an example to support our result. Several consequences are derived. As applications, we investigate the existence of best proximity points for a metric space endowed with symmetric binary relation. © 2019, The Author(s).
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