Department of Mathematics, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai 600 005, India
Copyright © 2009 S. Karpagam and Sushama Agrawal. 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.
We consider a contraction map of the Meir-Keeler type on the union of p subsets , , of a metric space () to itself. We give sufficient conditions for the existence and convergence of a best proximity point for such a map.