Fixed Point Theory and Applications 
Volume 2007 (2007), Article ID 50596, 9 pages
doi:10.1155/2007/50596
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

Recommended by Wataru Takahashi

Abstract

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