Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 406368, 8 pages
Research Article

A Generalisation of Contraction Principle in Metric Spaces

P. N. Dutta1 and Binayak S. Choudhury2

1Department of Mathematics, Government College of Engineering and Ceramic Technology, 73 A.C. Banerjee Lane, Kolkata, West Bengal 700010, India
2Department of Mathematics, Bengal Engineering and Science University, P.O. Botanical Garden, Shibpur, Howrah, West Bengal 711103, India

Received 28 March 2008; Revised 26 June 2008; Accepted 18 August 2008

Academic Editor: Górniewicz Lech

Copyright © 2008 P. N. Dutta and Binayak S. Choudhury. 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.


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.