Fixed Point Theory and Applications
Volume 2007 (2007), Article ID 39465, 6 pages
A Note on Asymptotic Contractions
1Department of Mathematics and Statistics, Georgia State University, Atlanta 30303, GA, USA
2School of Mathematical and Physical Sciences, The University of Newcastle, Newcastle 2308, NSW, Australia
3Department of Mathematics, The Technion–Israel Institute of Technology, Haifa 32000, Israel
Received 27 August 2006; Revised 16 October 2006; Accepted 16 October 2006
Academic Editor: Brailey Sims
Copyright © 2007 Marina Arav 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.
We provide sufficient conditions for the iterates of an asymptotic contraction on a complete metric space to converge to its unique fixed point, uniformly on each bounded subset of .