次预不变凸集值映射向量优化问题

Vector optimization of subpreinvex of set-valued maps

研究了集值映射向量优化问题的最优性条件和对偶 ,首先给出了集值映射的次预不变凸概念 ,并建立了预不变凸集值映射的择一定理 ;其次应用择一定理获得了集值映射向量优化问题的最优性必要条件 ;

The optimality condition and duality for vector optimization of set valued maps are studied. The concept of cone subpreinvex of set valued maps is introduced,and an alternative theroem is established for these maps. The necessary optimality condition for the optimization of set valued maps is obtained.Lagrange type duality theorems are also derived.