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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20082008:768294

https://doi.org/10.1155/2008/768294

  • Received: 10 December 2007
  • Accepted: 23 June 2008
  • Published:

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.

Keywords

  • Differential Geometry
  • Computational Biology
  • Full Article
  • Contraction Principle
  • Publisher Note

Publisher note

To access the full article, please see PDF.

Authors’ Affiliations

(1)
Department of Mathematics and Computer Sciences, Amirkabir University of Technology, P.O. Box 15914, Hafez Avenue, Tehran, Iran

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