Open Access Research Article

Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups

Huimin He* and Rudong Chen

Author Affiliations

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

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Fixed Point Theory and Applications 2007, 2007:059735  doi:10.1155/2007/59735


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2007/1/059735


Received: 25 January 2007
Accepted: 19 March 2007
Published: 30 April 2007

© 2007 He and Chen

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.

Motivated by T. Suzuki, we show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming. The results presented extend and improve the corresponding results of Kazuhide Nakajo and Wataru Takahashi (2003).

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