Fixed Point Theory and Applications
Volume 2006 (2006), Article ID 89470, 8 pages

Strong convergence to common fixed points of nonexpansive mappings without commutativity assumption

Yonghong Yao,1 Rudong Chen,1 and Haiyun Zhou2

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

Received 11 June 2006; Revised 27 July 2006; Accepted 2 August 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.


We introduce an iteration scheme for nonexpansive mappings in a Hilbert space and prove that the iteration converges strongly to common fixed points of the mappings without commutativity assumption.