Open Access

A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle

Fixed Point Theory and Applications20042004:501092

DOI: 10.1155/S1687182004311010

Received: 6 November 2003

Published: 3 March 2004

Abstract

We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces. We also give a simple extension of Eilenberg's theorem which yields the contraction principle.

Authors’ Affiliations

(1)
Institute of Mathematics, Technical University of Łódź

Copyright

© Jachymski 2004