%0 Journal Article
%T Weak and strong convergence theorems of a multistep iteration to a common fixed point of a family of nonself asymptotically nonexpansive mappings in banach spaces
%A Shrabani Banerjee
%A Binayak S Choudhury
%J Cubo : A Mathematical Journal
%D 2012
%I Universidad de La Frontera and Universidade Federal de Pernambuco
%X In this paper we have defined a multistep iterative scheme with errors involving a family of asymptotically nonexpansive nonself mappings in Banach spaces. A retraction has been used in the construction of theiteration. We prove here weak and strong convergences of the iteration to common fixed points of the family of asymptotically nonexpansive nonself mappings. We have used several concepts of Banach space geometry. Our results improve and extend some recent results. En este art赤culo definimos un esquema de multi paso iterativo con errores que involucran una familia de aplicaciones no expansivas y no auto asint車ticamente en espacios deBanach. Una retracci車n se ha usado en la construcci車n de la iteraci車n. Probamos convergencias d谷biles y fuertes de las iteraciones a puntos fijos cl芍sicos de la familia de aplicaciones no expansivas no auto asint車ticamente. Hemos usado varios conceptos de geometr赤a en espacios de Banach. Nuestro resultado mejora y extiende algunos resultados recientes.
%K Modified multistep iterative process with errors
%K nonself asymptotically nonexpansive mapping
%K retraction
%K Opial＊s condition
%K uniformly convex Banach space
%K common fixed point
%K Kadec-klee property
%K Condition
%K weak and strong convergence
%U http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300010