Fixed points, selections and common fixed points for nonexpansive-type mappings

We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and Banach spaces for single and multivalued mappings satisfying conditions that generalize the concept of nonexpansivity. Besides, we use the fixed point theorems proved here to give...

Descripción completa

Detalles Bibliográficos
Autores: Espínola García, Rafael, Lorenzo Ramírez, Josefa, Nicolae, Adriana
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2011
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47776
Acceso en línea:http://hdl.handle.net/11441/47776
https://doi.org/10.1016/j.jmaa.2010.06.039
Access Level:acceso abierto
Palabra clave:Fixed point
Selection of multifunctions
Generalized nonexpansive mappings
Commuting mappings
Metric space
Banach space
Descripción
Sumario:We study the existence of fixed points in the context of uniformly convex geodesic metric spaces, hyperconvex spaces and Banach spaces for single and multivalued mappings satisfying conditions that generalize the concept of nonexpansivity. Besides, we use the fixed point theorems proved here to give common fixed point results for commuting mappings.