Some New Results on Coincidence Points for Multivalued Suzuki-Type Mappings in Fairly Complete Spaces

In this paper, we introduce Suzuki-type generalized and modified proximal contractive mappings. We establish some coincidence and best proximity point results in fairly complete spaces. Also, we provide coincidence and best proximity point results in partially ordered complete metric spaces for Suzu...

Descripción completa

Detalles Bibliográficos
Autores: Saleem, Naeem, Habib, Iqra, De la Sen Parte, Manuel
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/42544
Acceso en línea:http://hdl.handle.net/10810/42544
Access Level:acceso abierto
Palabra clave:coincidence best proximity point
Suzuki-type (α,β,γɡ)-generalized proximal contraction
Suzuki-type (α,β,γɡ)-modified proximal contraction
fairly complete space
fixed point
partially ordered metric space
Descripción
Sumario:In this paper, we introduce Suzuki-type generalized and modified proximal contractive mappings. We establish some coincidence and best proximity point results in fairly complete spaces. Also, we provide coincidence and best proximity point results in partially ordered complete metric spaces for Suzuki-type generalized and modified proximal contractive mappings. Furthermore, some examples are presented in each section to elaborate and explain the usability of the obtained results. As an application, we obtain fixed-point results in metric spaces and in partially ordered metric spaces. The results obtained in this article further extend, modify and generalize the various results in the literature.