Duality on Convex Sets in Generalized Regions

Abstract

Recently, 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 ℝn. Our goal in this note is to generalize this type of results to regions in ℝn bounded between two convex sets. © Springer Science+Business Media New York 2013.