(1) Department of Mathematics, Liaoning Normal University, P. O. Box 200, Dalian 116029, P. R. China;(2) Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Chinju 660-701, Korea
Abstract:
A few weak and strong convergence theorems of the modified three-step iterative sequence with errors and the modified Ishikawa iterative sequence with errors for asymptotically non-expansive mappings in any non-empty closed convex subsets of uniformly convex Banach spaces are established. The results presented in this paper substantially extend the results due to Chang (2001), Osilike and Aniagbosor (2000), Rhoades (1994) and Schu (1991). This work supported by Korea Research Foundation Grant (KRF-2001-005-D00002)
