Abstract For nonconvex set optimization problems based on the less order relation, this paper presents characterizations of optimal sets and gives necessary conditions for inequalities non-optimal using directional derivatives. specific cones, derivatives known functionals describing negative cones are also given.

Abstract In the present paper, problem of estimating contingent cone to solution set associated with certain set-valued inclusions is addressed by variational analysis methods and tools. As a main result, inner (resp. outer) approximations, which are expressed in terms outer inner) prederivatives term appearing inclusion problem, provided. For evidence arises that metric increase property for m...

we characterize the rational subsets of a finite group and discuss the relations to integral cayley graphs.