On Completeness of Partially Ordered Sets and Fixpoint Theorems for Isotone Mappings

DOI10.2307/2315112zbMath0155.03101OpenAlexW2111661910MaRDI QIDQ5537647

Ignace I. Kolodner

Publication date: 1968

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2315112

zbMATH Keywords

completenesspartially ordered setsisotone mappingsfixpoint theorems

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (6)

Nonlocal quasivariational evolution problems ⋮ Spanning retracts of a partially ordered set ⋮ An order approach to SPDEs with antimonotone terms ⋮ Stability of the Solution Set of Quasi-variational Inequalities and Optimal Control ⋮ Three counterexamples concerning ω-chain completeness and fixed point properties ⋮ Ordonnés escamotables et points fixes. (Dismantlable orders and fixed points)

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