Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 59735, 8 pages
Research Article

Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups

Huimin He and Rudong Chen

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

Received 25 January 2007; Accepted 19 March 2007

Academic Editor: Jerzy Jezierski

Copyright © 2007 Huimin He and Rudong 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).