Open Access

Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups

Fixed Point Theory and Applications20062006:96215

https://doi.org/10.1155/FPTA/2006/96215

Received: 22 April 2006

Accepted: 14 July 2006

Published: 9 October 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.

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Authors’ Affiliations

(1)
Department of Mathematics, Tianjin Polytechnic University

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Copyright

© Y. Su and X. Qin. 2006

This article is published under license to BioMed Central Ltd. 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.