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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Detalhes bibliográficos
Autores: Mani, Gunaseelan, Janardhanan, Gopinath, Ege, Ozgur, Gnanaprakasam, Arul Joseph, De la Sen Parte, Manuel
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/59236
Acesso em linha:http://hdl.handle.net/10810/59236
Access Level:acceso abierto
Palavra-chave:rational contractive mapping
®-complete metric space
fixed point
Descrição
Resumo: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.