Geodesic
Some fixed point theorems for pseudo ordered sets
Algebra and discrete mathematics, Tome 11 (2011) no. 1, pp. 17-22

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In this paper, it is shown that for an isotone map $f$ on a pseudo ordered set $A$, the set of all fixed points of $f$ inherits the properties of $A$, namely, completeness, chain-completeness and weakly chain-completeness, as in the case of posets.
Keywords: pseudo ordered set, trellis, completeness, isotone map. 
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     author = {S. Parameshwara Bhatta and Shiju George},
     title = {Some fixed point theorems for pseudo ordered sets},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2011_11_1_a1/}
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S. Parameshwara Bhatta; Shiju George. Some fixed point theorems for pseudo ordered sets. Algebra and discrete mathematics, Tome 11 (2011) no. 1, pp. 17-22. http://geodesic.mathdoc.fr/item/ADM_2011_11_1_a1/