在Hausdorff局部凸拓扑线性空间中考虑约束集值优化问题的严有效性。给出了内部锥次类凸的一个性质,在内部锥次类凸和条件(CQ)成立的假设下,利用择一性定理分别得到了向量集值优化问题严有效解的Kuhn—Tucker型,Lagrange型和鞍点最优性充分必要条件。
The set - valued optimization problem with constraints (SOP) is considered in the sense of strict efficiency in Hausdorff locally convex linear topological spaces. Given a property of the ic - cone - conevexlikeness, under the assumption of the ic - cone - convexlikeness and condition ( CQ), by applying alternative theorem, Kuhn - Tucker type , Lagrange type and Saddle points type optimality conditions of vector set - valued optimization problem (SOP) are derived respectively.