On stationary points of nonexpansive set-valued mappings

In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of approximate stationary sequences. In particular we provide abstract extensions o...

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Detalles Bibliográficos
Autores: Espínola García, Rafael, Hosseini, Meraj, Nourouzi, Kourosh
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42912
Acceso en línea:http://hdl.handle.net/11441/42912
https://doi.org/10.1186/s13663-015-0481-4
Access Level:acceso abierto
Palabra clave:stationary point
nonexpansive set-valued mapping
approximate stationary sequence
normal structure
weakly compact set
Descripción
Sumario:In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of approximate stationary sequences. In particular we provide abstract extensions of well-known fixed point theorems.