International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 39281, 6 pages
Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions
Department of Mathematics, Kyushu Institute of Technology, Sensuicho, Tobata 804-8550, Kitakyushu, Japan
Received 20 August 2006; Revised 27 October 2006; Accepted 5 December 2006
Academic Editor: Sehie Park
Copyright © 2007 Tomonari Suzuki. 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 prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.