Ishikawa iteration process with errors;
asymptotically nonexpansive mappings;
uniformly convex spaces;
D O I:
10.1016/S0898-1221(99)00040-1
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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.