International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 560671, 18 pages
Research Article

A New Composite General Iterative Scheme for Nonexpansive Semigroups in Banach Spaces

Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand

Received 1 February 2011; Accepted 19 March 2011

Academic Editor: Yonghong Yao

Copyright © 2011 Pongsakorn Sunthrayuth and Poom Kumam. 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.


We introduce a new general composite iterative scheme for finding a common fixed point of nonexpansive semigroups in the framework of Banach spaces which admit a weakly continuous duality mapping. A strong convergence theorem of the purposed iterative approximation method is established under some certain control conditions. Our results improve and extend announced by many others.