Proximally Compatible Mappings and Common Best Proximity Points

The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of con...

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Detalles Bibliográficos
Autores: Pragadeeswarar, V., Gopi, R., De la Sen Parte, Manuel, Radenović, Stojan
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:10810/42852
Acceso en línea:http://hdl.handle.net/10810/42852
Access Level:acceso abierto
Palabra clave:commuting mappings
common fixed point
(ϵ,δ)-contractions
compatible mappings
common best proximity point
Descripción
Sumario:The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences. In addition, we provide an example to support our main result.