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International Journal of Mathematics and Mathematical Sciences
Volume 2012, Article ID 329298, 14 pages
Research Article

Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces

1Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, India
2Department of Mathematics, Atilim University, İncek 06836, Ankara, Turkey
3Department of Mathematics, Siliguri Institute of Technology, Darjeeling 734009, India

Received 12 April 2012; Accepted 19 May 2012

Academic Editor: Paolo Ricci

Copyright © 2012 Binayak S. Choudhury et al. 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.


Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.