Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
In a recent paper, Rhoades [1] presented some generalizations of Schu [2] on the convergence of the Mann and Ishikawa iterations of asymptotically nonexpansive mappings in uniformly convex Banach spaces. We continue the study on the Ishikawa land Mann) iteration process with errors and prove that if X is a uniformly convex Banach space, empty set not equal E subset of X closed bounded and convex, and T: E --> E is an asymptotically nonexpansive mapping, then the Ishikawa land Mann) iteration process with errors converges strongly to some fixed point of T. (C) 1999 Elsevier Science Ltd. All rights reserved.
asymptotically nonexpansive mappings ishikawa iteration process with errors uniformly convex spaces