Fixed Point Theory and Applications
Volume 2004 (2004), Issue 3, Pages 195-209

Several fixed point theorems concerning τ-distance

Tomonari Suzuki

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 τ-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 τ-distance.