Copyright © 2011 Shih-sen Chang et al. 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.
The purpose of this paper is to introduce and study the strong convergence problem
of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main
results presented in this paper not only extend and improve some recent results announced by many authors, but also give an
affirmative answer for the open questions raised by Suzuki (2003) and Xu (2005).