Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 96215, 11 pages
doi:10.1155/FPTA/2006/96215
Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Received 22 April 2006; Accepted 14 July 2006
Copyright © 2006 Yongfu Su and Xiaolong Qin. 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
Strong convergence theorems are obtained from modified Halpern iterative
scheme for asymptotically nonexpansive mappings and asymptotically
nonexpansive semigroups, respectively. Our results extend and improve
the recent ones announced by Nakajo, Takahashi, Kim, Xu, and some others.