Higher-order optimality of Benson proper efficient and weakly efficient solutions for robust vector optimization problems involving set and cone constraints
摘要
By means of the augmented higher-order radial epiderivatives, we investigate higher-order optimality conditions of Benson proper efficient and weakly efficient solutions for a class of uncertain nonsmooth nonconvex vector optimization problems with set and cone constraints. We introduce a new version of the higher-order augmented proper (weak) radial epiderivatives of profile mappings and establish some their basic characterizations. Simultaneously, we construct several fundamental sum calculation formulas for the augmented higher-order radial sets. Some applications to the uncertain vector optimization problem