Open Access

A Generalisation of Contraction Principle in Metric Spaces

Fixed Point Theory and Applications20082008:406368

https://doi.org/10.1155/2008/406368

Received: 28 March 2008

Accepted: 18 August 2008

Published: 29 September 2008

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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Authors’ Affiliations

(1)
Department of Mathematics, Government College of Engineering and Ceramic Technology
(2)
Department of Mathematics, Bengal Engineering and Science University

Copyright

© P. N. Dutta and B. S. Choudhury. 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.