Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 406368, 8 pages
doi:10.1155/2008/406368
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
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.