Open Access Research Article

Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups

Yongfu Su* and Xiaolong Qin

Author Affiliations

Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China

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Fixed Point Theory and Applications 2006, 2006:96215  doi:10.1155/FPTA/2006/96215


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2006/1/96215


Received: 22 April 2006
Accepted: 14 July 2006
Published: 9 October 2006

© 2006 Su and 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.

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.

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