带约束向量优化问题的二阶最优性条件

摘要

在实的Hausdorff局部凸空间中,利用二阶不变凸函数得到向量优化问题的弱有效解、Heing有效解、超有效解的充分性条件；给出了这几种解和鞍点之间的关系；最后,讨论了相应的对偶问题.%The vector optimization problem with constraint in locally convex real Hausdorff space was discussed.Sufficient conditions for weakly efficient solutions,Henig efficient solutions,and supper efficient solutions were obtained by the second order invex function.The relations between saddle points and these kinds of solutions were given,and the duality of vector optimization problem were also involved.