AN IMPLICIT ITERATION PROCESS WITH ERRORS FOR A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

Abstract

Let C be a closed convex subset of a real uniformly convex Banach space E. Iterative methods for the approximation of common fixed points of a finite family of asymptotically quasi-nonexpansive mappings are constructed. Our results show that boundedness requirement imposed on the subset C in a result of Sun can be dropped. Furthermore, our results extend the results of Sun to more general iteration methods with errors.