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Bound Sets in Partial Orders and the Fixed Point Property
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Research Article
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- Copyright © Canadian Mathematical Society 1987
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