Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 76971, 9 pages
Research Article

Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings

Meijuan Shang,1,2 Yongfu Su,1 and Xiaolong Qin3

1Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China
2Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China
3Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea

Received 23 May 2007; Accepted 2 August 2007

Academic Editor: J. R. L. Webb

Copyright © 2007 Meijuan Shang 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 modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.