Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 50596, 9 pages
doi:10.1155/2007/50596
Approximating fixed points of nonexpansive mappings in hyperspaces
Zeqing Liu1
, Chi Feng2
, Shin Min Kang3
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
Abstract
Two convergence theorems for the Ishikawa and Mann iteration sequences involving nonexpansive mappings in hyperspaces are established.