Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 197308, 9 pages
doi:10.1155/2009/197308

Best proximity point theorems for $p$-cyclic Meir--Keeler contractions

Abstract

We consider a contraction map T of the Meir-Keeler type on the union of p subsets A1,…,Ap, (p≥2), of a metric space (X,d) to itself. We give sufficient conditions for the existence and convergence of a best proximity point for such a map.