Shmuely, Zahava Fixed points of antitone mappings. (English) Zbl 0287.06005 Proc. Am. Math. Soc. 52, 503-505 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 06B23 Complete lattices, completions 20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Smbat Abian and Arthur B. Brown, A theorem on partially ordered sets, with applications to fixed point theorems, Canad. J. Math. 13 (1961), 78 – 82. · Zbl 0098.25502 · doi:10.4153/CJM-1961-007-5 [2] A. Gewirtz and Louis V. Quintas, Antitone fixed point maps, Recent Trends in Graph Theory (Proc. Conf., New York, 1970) Lecture Notes in Mathematics, Vol. 186, Springer, Berlin, 1971, pp. 117 – 136. · Zbl 0238.06006 [3] Günter Pickert, Bemerkungen über Galois-Verbindungen, Arch. Math. (Basel) 3 (1952), 285 – 289 (German). · Zbl 0047.26402 · doi:10.1007/BF01899228 [4] Alfred Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific J. Math. 5 (1955), 285 – 309. · Zbl 0064.26004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.