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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Detalles Bibliográficos
Autores: Gabeleh, Moosa, Patle, Pradip Ramesh
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/187140
Acceso en línea:https://riunet.upv.es/handle/10251/187140
Access Level:acceso abierto
Palabra clave:Coupled best proximity point (pair)
Cyclic (noncyclic) condensing operator
Optimum solution
Busemann convex space
Descripción
Sumario:[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.