Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces

In this paper, we introduce the concept of fuzzy-controlled bipolar metric space and prove some fixed-point theorems in this space. Our results generalize and expand some of the literature’s well-known results. We also provide some applications of our main results to integral equations.

Detalhes bibliográficos
Autores: Mani, Gunaseelan, Gnanaprakasam, Arul Joseph, Kumar, Santosh, Ege, Ozgur, De la Sen Parte, Manuel
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/60968
Acesso em linha:http://hdl.handle.net/10810/60968
Access Level:acceso abierto
Palavra-chave:fixed point
fuzzy-controlled bipolar metric space
fuzzy bipolar metric space
fuzzy metric space
Descrição
Resumo:In this paper, we introduce the concept of fuzzy-controlled bipolar metric space and prove some fixed-point theorems in this space. Our results generalize and expand some of the literature’s well-known results. We also provide some applications of our main results to integral equations.