© 2017, Springer Science+Business Media Dordrecht. We introduce and study the class of weakly Motzkin predecomposable sets, which are those sets in ℝ n that can be expressed as the Minkowski sum of a bounded convex set and a convex cone, none of them being necessarily closed. This class contains that of Motzkin predecomposable sets, for which the bounded components are compact, which in turn contains the class of Motzkin decomposable sets, for which the bounded components are compact and the conic components are closed.
|Journal||Set-Valued and Variational Analysis|
|Publication status||Published - 1 Sept 2017|
- Convex cones
- Convex sets
- Motzkin decomposable sets