Geodesic
Weak chain-completeness and fixed point property for pseudo-ordered sets
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 365-369.

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In this paper the notion of weak chain-completeness is introduced for pseudo-ordered sets as an extension of the notion of chain-completeness of posets (see [3]) and it is shown that every isotone map of a weakly chain-complete pseudo-ordered set into itself has a least fixed point.
Classification : 06B05
Keywords: pseudo-ordered set; trellis; complete trellis; fixed point property; weak chain completeness 
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     title = {Weak chain-completeness and fixed point property for pseudo-ordered sets},
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Bhatta, S. Parameshwara. Weak chain-completeness and fixed point property for pseudo-ordered sets. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 365-369. http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a6/