Characterizations of the Set Less Order Relation in Nonconvex Set Optimization
Johannes Jahn · Journal of Optimization Theory and Applications · 2022
Abstract For nonconvex set optimization problems based on the set less order relation, this paper presents characterizations of optimal sets and gives necessary conditions for set inequalities and non-optimal sets using directional derivatives. For specific order cones, the directional derivatives of known functionals describing the negative cones are also given.