Fixed Point Theory and Applications
Volume 2004 (2004), Issue 3, Pages 195-209
Several fixed point theorems concerning -distance
Department of Mathematics, Physics, and Computer-Aided Science, Kyushu Institute of Technology, 1-1 Sensuicho, Tobataku, Kitakyushu 804-8550, Japan
Received 21 October 2003; Revised 10 March 2004
Copyright © 2004 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.
Using the notion of -distance, we prove several fixed point
theorems, which are generalizations of fixed point theorems by
Kannan, Meir-Keeler, Edelstein, and Nadler. We also discuss the
properties of -distance.