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

Abstract In this paper, we search some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called α-proximal Geraghty mappings. Our results extend many recent results appearing in the literature. We suggest an example to support our result. Several consequ...

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Bibliographic Details
Main Author: Mohamed Iadh Ayari
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Fixed Point Theory and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13663-019-0661-8