A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle
© Jachymski 2004
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.