A new modified block iterative algorithm for uniformly quasi-<it>&#981;</it>-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems

<p>Abstract</p> <p>In this paper, we introduce a new modified block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi-<it>&#981;</it>-asymptotically nonexpansive mappings, the set o...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Saewan Siwaporn, Kumam Poom
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2011
Materias:
Acceso en línea:https://doaj.org/article/2414daa7983448169d5dc111651ce044
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
Descripción
Sumario:<p>Abstract</p> <p>In this paper, we introduce a new modified block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi-<it>&#981;</it>-asymptotically nonexpansive mappings, the set of the variational inequality for an <it>&#945;</it>-inverse-strongly monotone operator, and the set of solutions of a system of generalized mixed equilibrium problems. We obtain a strong convergence theorem for the sequences generated by this process in a 2-uniformly convex and uniformly smooth Banach space. Our results extend and improve ones from several earlier works.</p> <p> <b>2000 MSC: </b>47H05; 47H09; 47H10.</p>