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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:


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, Łódź, 90-924, Poland


© Jachymski 2004