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

Yongfu Su and Xiaolong Qin

 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
Received 22 April 2006; Accepted 14 July 2006

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.