Solving a Boundary Value Problem via Fixed-Point Theorem on ®-Metric Space

In this paper, we prove the fixed-point theorem for rational contractive mapping on ®-metric space. Additionally, an Euclidean metric space with a binary relation example and an application to the first-order boundary value problem are given. Moreover, the obtained results generalize and extend some...

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Detalles Bibliográficos
Autores: Mani, Gunaseelan, Janardhanan, Gopinath, Ege, Ozgur, Gnanaprakasam, Arul Joseph, De la Sen Parte, Manuel
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/59236
Acceso en línea:http://hdl.handle.net/10810/59236
Access Level:acceso abierto
Palabra clave:rational contractive mapping
®-complete metric space
fixed point
Descripción
Sumario:In this paper, we prove the fixed-point theorem for rational contractive mapping on ®-metric space. Additionally, an Euclidean metric space with a binary relation example and an application to the first-order boundary value problem are given. Moreover, the obtained results generalize and extend some of the well-known results in the literature.