On the generalized Fritz John optimality conditions of vector optimization with set-valued maps under Benson proper efficiency
Based on the introduction of contingent derivatives, defined by the epigraph of a set-valued map and the contingent tangent cone, generalized Fritz John optimality conditions are derived for Benson proper efficiency for vector set-valued optimization problems with set-valued constraints, using a standard separation theorem. Using similar notions for strong and weak contingent pseudoconvexity of the set-valued objective and constraint functions, respectively, corresponding necessary conditions are proven.
scientific article; zbMATH DE number 1963380