International Journal of Mathematics and Mathematical Sciences

Volume 2006 (2006), Article ID 29728, 10 pages

doi:10.1155/IJMMS/2006/29728

## Strong convergence and control condition of modified Halpern iterations in Banach spaces

# Yonghong Yao,^{1} Rudong Chen,^{1} and Haiyun Zhou^{2}

^{1}Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China^{2}Department of Mathematics, Shijiazhuang
Mechanical Engineering College, Shijiazhuang 050003, China

Received 27 August 2005; Revised 14 February 2006; Accepted 28 February 2006

Copyright © 2006 Yonghong Yao 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.

#### Abstract

Let