Fixed Point Theory and Applications 
Volume 2006 (2006), Article ID 89470, 8 pages
doi:10.1155/FPTA/2006/89470

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

Abstract

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.