A best proximity point theorem for special generalized proximal β-quasi contractive mappings

Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.

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Bibliographic Details
Main Authors: M. Iadh Ayari, M. M. M. Jaradat, Z. Mustafa
Format: article
Language:EN
Published: SpringerOpen 2019
Subjects:
Online Access:https://doaj.org/article/f1af3d8301eb4ff3bafce448dc54cdf9
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Summary:Abstract In this paper, we obtain some best proximity point results for a new class of non-self mappings T:A⟶B $T:A \longrightarrow B$ called special generalized proximal β-quasi contractive. Our result is illustrated by an example. Several consequences are derived.