Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 520976, 16 pages
doi:10.1155/2009/520976
Approximate fixed points for nonexpansive and quasi-nonexpansive mappings in hyperspaces
Zeqing Liu1
, Jeong Sheok Ume2
and Shin Min Kang3
1Department of Mathematics, Liaoning Normal University, Dalian, Liaoning 116029, China
2Department of Applied Mathematics, Changwon National University, Changwon 641-773, South Korea
3Department of Mathematics, Research Institute of Natural Science, Gyeongsang National University, Chinju 660-701, South Korea
Abstract
This paper provides a few convergence results of the Ishikawa iteration sequence with errors for nonexpansive and quasi-nonexpansive mappings in hyperspaces. The results presented in this paper improve and generalize some results in the literature.