Department of Mathematics, School of Mathematical & Computational Sciences, Walter Sisulu University, Nelson Mandela Drive Mthatha 5117, South Africa
Academic Editor: Mohamed A. Khamsi
Copyright © 2010 S. L. Singh and S. N. Mishra. 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.
Coincidence and fixed point theorems for a new class of hybrid contractions consisting of a pair of single-valued and multivalued
maps on an arbitrary nonempty set with values in a metric space are proved.
In addition, the existence of a common solution for certain class of functional
equations arising in dynamic programming, under much weaker conditions are
discussed. The results obtained here in generalize many well known results.