Abstract
According to Goberna, González, Martínez-Legaz, and Todorov (2010), an M-decomposable set in Rn is a closed convex set which is the sum of a compact convex set and a closed convex cone. Complementing the existing results on M-decomposable sets, we study their extreme, exposed, and asymptotic properties. Also, we consider M-polyhedral sets which are sums of compact convex sets and polyhedral cones and establish some characteristic properties of such sets.
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