Abstract

AbstractRecently, the duality relation on several families of convex sets was shown to be completely characterized by the simple property of reversing order. The families discussed in aforementioned results were convex sets in \({\mathbb{R}}^{n}\). Our goal in this note is to generalize this type of results to regions in \({\mathbb{R}}^{n}\) bounded between two convex sets.Key wordsDuality of convex bodiesFractional linear transformationsOrder isomorphism

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