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

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.

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Correspondence to S. M. Vaezpour.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Raja, P., Vaezpour, S.M. Some Extensions of Banach's Contraction Principle in Complete Cone Metric Spaces. Fixed Point Theory Appl 2008, 768294 (2008). https://doi.org/10.1155/2008/768294

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

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