Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 24978, 7 pages
doi:10.1155/FPTA/2006/24978
Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings
Department of Mathematics, NanChang University, NanChang, JiangXi 330047, China
Received 26 May 2006; Revised 5 August 2006; Accepted 13 August 2006
Copyright © 2006 Yuchao Tang and Liwei Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We discuss convergence theorems of modified Ishikawa and Mann iterative sequences
with errors for asymptotically pseudocontractive and asymptotically nonexpansive mappings in
Banach spaces, and the boundedness of the domain and range can be dropped, generalizing
theorems of Chang.