Fixed Point Theory and Applications 
Volume 2008 (2008), Article ID 768294, 11 pages
doi:10.1155/2008/768294
Research Article

Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces

P. Raja and S. M. Vaezpour

 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

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Abstract

In this paper we consider complete cone metric spaces. We generalize some definitions such as c-nonexpansive and (c,λ)-uniformly locally contractive functions f-closure, c-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.