Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces

In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed...

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Detalles Bibliográficos
Autores: Ghanifard, Azadeh, Masiha, Hashem Parvaneh, De la Sen Parte, Manuel, Ramezani, Maryam
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:10810/42542
Acceso en línea:http://hdl.handle.net/10810/42542
Access Level:acceso abierto
Palabra clave:*−nonexpansive multi-valued mapping
viscosity approximation methods
fixed point
convex metric space
Descripción
Sumario:In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.