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
Descripción
Sumario: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.