On M-predecomposable sets

摘要

M-predecomposable set in R-n is a convex set which is the sum of a compact convex set and a convex (not necessarily closed) cone. Complementing the existing results on M-predecomposable sets, we study their support and asymptotic properties. Also, we establish some properties of M-polyhedral sets, which are sums of compact convex sets and polyhedral cones.