Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 173621, 11 pages
doi:10.1155/2011/173621
Research Article

Strong Convergence of an Implicit Algorithm in CAT(0) Spaces

Hafiz Fukhar-ud-din,1 Abdul Aziz Domlo,2 and Abdul Rahim Khan3

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

Received 23 November 2010; Accepted 23 December 2010

Academic Editor: Qamrul Hasan Ansari

Copyright © 2011 Hafiz Fukhar-ud-din 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 establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT ( 0 ) spaces. Our work improves and extends several recent results from the current literature.