Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 768294, 11 pages
Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, P.O. Box 15914, Hafez Avenue, Tehran, Iran
Received 10 December 2007; Revised 2 June 2008; Accepted 23 June 2008
Academic Editor: Billy Rhoades
Copyright © 2008 P. Raja and S. M. Vaezpour. 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.
In this paper we consider complete cone metric spaces. We
generalize some definitions such as -nonexpansive and -uniformly locally contractive functions -closure, -isometric in cone metric spaces, and certain
fixed point theorems will be proved in those spaces. Among other results, we prove some interesting applications for the fixed point theorems in cone metric spaces.