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 Yao1 , Rudong Chen1 and Haiyun Zhou3

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
3Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China

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.