Open Access Research Article

A Generalisation of Contraction Principle in Metric Spaces

PN Dutta1* and BinayakS Choudhury2

Author Affiliations

1 Department of Mathematics, Government College of Engineering and Ceramic Technology, 73 A.C. Banerjee Lane, Kolkata, West Bengal 700010, India

2 Department of Mathematics, Bengal Engineering and Science University, P.O. Botanical Garden, Shibpur, Howrah, West Bengal 711103, India

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Fixed Point Theory and Applications 2008, 2008:406368 doi:10.1155/2008/406368


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2008/1/406368


Received:28 March 2008
Revisions received:26 June 2008
Accepted:18 August 2008
Published:29 September 2008

© 2008 The Author(s).

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.

Abstract

Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.

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