Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces

This paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point results for generalized multivalued contractions of b-metric spaces. Examples a...

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Detalles Bibliográficos
Autores: Ali, Basit, Khan, Arshad Ali, De la Sen Parte, Manuel
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/59784
Acceso en línea:http://hdl.handle.net/10810/59784
Access Level:acceso abierto
Palabra clave:best proximity points
multivalued mapping
cyclic contractions
b-metric spaces
optimum solution
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spelling Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric SpacesAli, BasitKhan, Arshad AliDe la Sen Parte, Manuelbest proximity pointsmultivalued mappingcyclic contractionsb-metric spacesoptimum solutionThis paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point results for generalized multivalued contractions of b-metric spaces. Examples are given to illustrate the main results and to show that the new results are the proper generalization of some existing results in the literature.This study is supported financially by the Basque Government through Grant IT1207-19.MDPI2023202320232023info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/59784reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://www.mdpi.com/2227-7390/11/3/574info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/© 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).oai:addi.ehu.eus:10810/597842026-06-18T09:23:17Z
dc.title.none.fl_str_mv Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
title Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
spellingShingle Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
Ali, Basit
best proximity points
multivalued mapping
cyclic contractions
b-metric spaces
optimum solution
title_short Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
title_full Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
title_fullStr Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
title_full_unstemmed Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
title_sort Optimum Solutions of Systems of Differential Equations via Best Proximity Points in b-Metric Spaces
dc.creator.none.fl_str_mv Ali, Basit
Khan, Arshad Ali
De la Sen Parte, Manuel
author Ali, Basit
author_facet Ali, Basit
Khan, Arshad Ali
De la Sen Parte, Manuel
author_role author
author2 Khan, Arshad Ali
De la Sen Parte, Manuel
author2_role author
author
dc.subject.none.fl_str_mv best proximity points
multivalued mapping
cyclic contractions
b-metric spaces
optimum solution
topic best proximity points
multivalued mapping
cyclic contractions
b-metric spaces
optimum solution
description This paper deals with the existence of an optimum solution of a system of ordinary differential equations via the best proximity points. In order to obtain the optimum solution, we have developed the best proximity point results for generalized multivalued contractions of b-metric spaces. Examples are given to illustrate the main results and to show that the new results are the proper generalization of some existing results in the literature.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/59784
url http://hdl.handle.net/10810/59784
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.mdpi.com/2227-7390/11/3/574
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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