Abstract
A sufficient condition for each extensive mapping of an ordered set to have a fixpoint is presented.
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References
Bourbaki N., Arch. Math. (Basel)2 (1949/1950), 434–437.
Davey B. A., Priestley H. A.,Introduction to Lattices and Order, Cambridge University Press, Cambridge 1990.
Enderton H. B.,Elements of Set Theory, Academic Press, New York 1977.
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Financial support of the Grant Agency of the Czech Republic under the grant no. 201/93/0950 is gratefully acknowledged.
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Niederle, J. A useful fixpoint theorem. Rend. Circ. Mat. Palermo 47, 463–464 (1998). https://doi.org/10.1007/BF02851392
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DOI: https://doi.org/10.1007/BF02851392