Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 520976, 16 pages
doi:10.1155/2009/520976
Research Article

Approximate Fixed Points for Nonexpansive and Quasi-Nonexpansive Mappings in Hyperspaces

Zeqing Liu,1 Jeong Sheok Ume,2 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

Received 9 May 2009; Accepted 14 December 2009

Academic Editor: W. A. Kirk

Copyright © 2009 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.

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.