Some remarks concerning fixed points in partially ordered sets

Antal Bege
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132
Volume 1, 1995, Number 3, Pages 142—145
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Antal Bege
Faculty of Mathematics, University of Cluj, Romania


In this paper we present theorems about fixed points for the mappings of a poset into itself.


  1. Abian S., Brown A.B., A theorem on partially ordered sets, with applications to fixed point theorems, Canad. J. Math. 13 (1961), 78-82.
  2. Amann H., Order structures and fixed points, ATTI del Seminario di Analizi Funzionale e Applicazioni 1977, 1-51.
  3. Klimes . J., Fixed edge theorems for complete lattices, Arch. Mat. 17 (1981), 227-234.
  4. Klimes J., Fixed point characterizations of completeness on lattices for relatively isotone mappings, Arch. Mat. 20(1984), 125-132.
  5. Kolodner I., On completeness of partially ordered sets and fixed point theorems for isotone mappings, Amer. Math. Monthly, 75 (1968), 48-49.
  6. Roth A.E., A lattice fixed point theorem with constraints, Bull. Amer. Math. Soc., 81 (1975), 136-138.
  7. Tarski A., A lattice theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285-309.

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Bege, A. (1995). Some remarks concerning fixed points in partially ordered sets. Notes on Number Theory and Discrete Mathematics, 1(3), 142-145.

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