Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 385986, 11 pages
doi:10.1155/2010/385986
Research Article

Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces

Abdul Rahim Khan,1 Hafiz Fukhar-ud-din,2 and Abdul Aziz Domlo3

1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dahran 31261, Saudi Arabia
2Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
3Department of Mathematics, Taibah University, P.O. Box 30002, Madinah Munawarah, Saudi Arabia

Received 1 October 2009; Accepted 19 January 2010

Academic Editor: Mohamed A. Khamsi

Copyright © 2010 Abdul Rahim Khan 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

We study strong convergence of the Ishikawa iterates of qasi-nonexpansive (generalized nonexpansive) maps and some related results in uniformly convex metric spaces. Our work improves and generalizes the corresponding results existing in the literature for uniformly convex Banach spaces.