Open Access

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

Fixed Point Theory and Applications20082008:768294

DOI: 10.1155/2008/768294

Received: 10 December 2007

Accepted: 23 June 2008

Published: 14 July 2008

Abstract

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.

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Mathematics and Computer Sciences, Amirkabir University of Technology

Copyright

© P. Raja and S. M. Vaezpour. 2008

This article is published under license to BioMed Central Ltd. 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.