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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20042004:501092

Received: 6 November 2003

Published: 3 March 2004


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

Institute of Mathematics, Technical University of Łódź, Żwirki 36, Poland


© Jachymski 2004