Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 406368, 8 pages
A Generalisation of Contraction Principle in Metric Spaces
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.