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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A fixed point theorem for image-intersecting mappings


Author: Alexander Abian
Journal: Proc. Amer. Math. Soc. 73 (1979), 300-302
MSC: Primary 06A05; Secondary 47H10
MathSciNet review: 518508
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Abstract: Many of the known fixed point theorems of order reversing mappings of partially or simply ordered sets into themselves pertain to dense such ordered sets. In this paper a fixed point theorem is given for an order reversing mapping from a not necessarily dense simply ordered set into itself.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0518508-6
PII: S 0002-9939(1979)0518508-6
Keywords: Fixed point, simply ordered set
Article copyright: © Copyright 1979 American Mathematical Society