A fixed point theorem for image-intersecting mappings

Abian, Alexander

doi:10.1090/S0002-9939-1979-0518508-6

A fixed point theorem for image-intersecting mappings
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Proc. Amer. Math. Soc. 73 (1979), 300-302 Request permission

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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