International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 39281, 6 pages
doi:10.1155/2007/39281
Meir-Keeler contractions of integral type are still Meir-Keeler contractions
Tomonari Suzuki
Department of Mathematics, Kyushu Institute of Technology, Sensuicho, Tobata 804-8550, Kitakyushu, Japan
Abstract
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.