Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 050596, 9 pages
Research Article

Approximating Fixed Points of Nonexpansive Mappings in Hyperspaces

Zeqing Liu,1 Chi Feng,2 Shin Min Kang,3 and Jeong Sheok Ume4

1Department of Mathematics, Liaoning Normal University, P.O. Box 200, Dalian, Liaoning 116029, China
2Department of Science, Dalian Fisheries College, Dalian, Liaoning 116023, China
3Department of Mathematics and the Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, South Korea
4Department of Applied Mathematics, Changwon National University, Changwon 641-733, South Korea

Received 29 March 2007; Revised 27 August 2007; Accepted 13 September 2007

Academic Editor: Wataru Takahashi

Copyright © 2007 Zeqing Liu 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.


Two convergence theorems for the Ishikawa and Mann iteration sequences involving nonexpansive mappings in hyperspaces are established.