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

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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.

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Correspondence to Jacek Jachymski.

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Jachymski, J. A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle. Fixed Point Theory Appl 2004, 501092 (2004). https://doi.org/10.1155/S1687182004311010

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