Fixed Point Theory and Applications 
Volume 2004 (2004), Issue 3, Pages 195-209
doi:10.1155/S168718200431003X

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

Abstract

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.