Geodesic
Bound Sets in Partial Orders and the Fixed Point Property
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 421-428

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DOI

In this paper we introduce several properties closely related to the fixed point property of a partially ordered set P: the comparability property, the fixed point property for cones, and the fixed point extension property. We apply these properties to the sets of common bounds of the minimal (maximal) elements of the partially ordered set P in order to derive fixed point theorems for P.
DOI : 10.4153/CMB-1987-062-7
Mots-clés : 06A10 
Höft, Hartmut. Bound Sets in Partial Orders and the Fixed Point Property. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 421-428. doi: 10.4153/CMB-1987-062-7
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     title = {Bound {Sets} in {Partial} {Orders} and the {Fixed} {Point} {Property}},
     journal = {Canadian mathematical bulletin},
     pages = {421--428},
     year = {1987},
     volume = {30},
     number = {4},
     doi = {10.4153/CMB-1987-062-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-062-7/}
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