Canadian Mathematical Bulletin · 1980 · 42 citations · 7 references
Natural SciencesMathematicsDiscrete MathematicsSet TheoryFixed Point TheoryFixed PointsOrdering TransformationsPartial OrdersPartially Ordered SetsFixed Point AnalysisFixed Point PropertyOrder-preserving MapsPartial Fixed Point Theorems
A partially ordered set P has the fixed point property if every orderpreserving mapping f of P to P has a fixed point, that is, f ( a ) = a for some aϵP ; call P fixed point free if P does not have the fixed point property.
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Fixed points in partially ordered sets
Kenneth Bacławski, Anders Björner · Advances in Mathematics · 1979 · 106 citations
A characterization of complete lattices
A.C. Davis · Pacific Journal of Mathematics · 1955 · 102 citations · Full text
Spanning retracts of a partially ordered set
Dwight Duffus, Ivan Rival, Miklós Simonovits · Discrete Mathematics · 1980 · 33 citations