Best proximity point (pair) results via MNC in Busemann convex metric spaces

[EN] In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence r...

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Bibliographic Details
Authors: Gabeleh, Moosa; Patle, Pradip Ramesh
Format: Article
Publication date:2022
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/187140
Online Access:https://riunet.upv.es/handle/10251/187140
Access Level:Open access
Keyword:Coupled best proximity point (pair)
Cyclic (noncyclic) condensing operator
Optimum solution
Busemann convex space
Description
Summary:[EN] In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces. Then an application of the main existence result to study the existence of an optimal solution for a system of differential equations is demonstrated.