A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle
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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| Format: | Article |
| Language: | English |
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SpringerOpen
2004-03-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/S1687182004311010 |