Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces

[EN] Two new class of condensing operators, called  ( α − ς ) and ( β − ς ) Meir-Keelercondensing operators, are introduced and used to investigate the existence of best proximity points (pairs) for cyclic (noncyclic) relatively nonexpansive mappings to more general metric space, namely reflexive an...

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Autores: Pradhan, Akash, Gabeleh, Moosa, Patel, Deepesh Kumar, Samei, Mohammad Esmael
Tipo de recurso: artículo
Fecha de publicación:2025
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:10251/227667
Acceso en línea:https://riunet.upv.es/handle/10251/227667
Access Level:acceso abierto
Palabra clave:Busemann convex space
Measure of noncompactness
Best proximity point
Meir-Keeler cyclic (noncyclic) condensing operators
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spelling Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spacesPradhan, AkashGabeleh, MoosaPatel, Deepesh KumarSamei, Mohammad EsmaelBusemann convex spaceMeasure of noncompactnessBest proximity pointMeir-Keeler cyclic (noncyclic) condensing operators[EN] Two new class of condensing operators, called  ( α − ς ) and ( β − ς ) Meir-Keelercondensing operators, are introduced and used to investigate the existence of best proximity points (pairs) for cyclic (noncyclic) relatively nonexpansive mappings to more general metric space, namely reflexive and Busemann convex space by applying measure of noncompactness. In this way, we extend the main results of the paper [M. Gabeleh, C. Vetro, A new extension of Darbo's fixed point theorem using relatively Meir-Keeler condensing operators, Bull. Aust. Math. Soc., 98 (2022), 247-266] from Banach spaces to Busemann convex metric spaces and by considering appropriate control functions. Some related examples are also presented to describe these classes of operators. Finally, as an application of our main conclusions, we survey the existence of an optimal solution for a certain type of system of integro-differential equations.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-10-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdftext/htmlhttps://riunet.upv.es/handle/10251/227667reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2276672026-06-13T07:49:27Z
dc.title.none.fl_str_mv Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
title Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
spellingShingle Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
Pradhan, Akash
Busemann convex space
Measure of noncompactness
Best proximity point
Meir-Keeler cyclic (noncyclic) condensing operators
title_short Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
title_full Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
title_fullStr Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
title_full_unstemmed Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
title_sort Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces
dc.creator.none.fl_str_mv Pradhan, Akash
Gabeleh, Moosa
Patel, Deepesh Kumar
Samei, Mohammad Esmael
author Pradhan, Akash
author_facet Pradhan, Akash
Gabeleh, Moosa
Patel, Deepesh Kumar
Samei, Mohammad Esmael
author_role author
author2 Gabeleh, Moosa
Patel, Deepesh Kumar
Samei, Mohammad Esmael
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Busemann convex space
Measure of noncompactness
Best proximity point
Meir-Keeler cyclic (noncyclic) condensing operators
topic Busemann convex space
Measure of noncompactness
Best proximity point
Meir-Keeler cyclic (noncyclic) condensing operators
description [EN] Two new class of condensing operators, called  ( α − ς ) and ( β − ς ) Meir-Keelercondensing operators, are introduced and used to investigate the existence of best proximity points (pairs) for cyclic (noncyclic) relatively nonexpansive mappings to more general metric space, namely reflexive and Busemann convex space by applying measure of noncompactness. In this way, we extend the main results of the paper [M. Gabeleh, C. Vetro, A new extension of Darbo's fixed point theorem using relatively Meir-Keeler condensing operators, Bull. Aust. Math. Soc., 98 (2022), 247-266] from Banach spaces to Busemann convex metric spaces and by considering appropriate control functions. Some related examples are also presented to describe these classes of operators. Finally, as an application of our main conclusions, we survey the existence of an optimal solution for a certain type of system of integro-differential equations.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-10-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/227667
url https://riunet.upv.es/handle/10251/227667
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
text/html
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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