Some generalizations of Kannan's fixed point theorem in K-metric spaces

We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s fixed point theorem is given in some class of spaces including K-metric spaces....

Descripción completa

Detalles Bibliográficos
Autores: Domínguez Benavides, Tomás, Lorenzo Ramírez, Josefa, Gatica Araus, Iván
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/60467
Acceso en línea:http://hdl.handle.net/11441/60467
Access Level:acceso abierto
Palabra clave:Fixed point
Kannan contractive mapping
K-metric spaces
Descripción
Sumario:We extend some known fixed point results for mappings satisfying Kannan type conditions to the context of K-metric spaces. Firstly, we prove a common fixed point result for noncommuting maps. A generalization of Kannan’s fixed point theorem is given in some class of spaces including K-metric spaces.