在Hausdorff局部凸拓扑线性空间中考虑约束向量集值优化问题(VP)的超有效性.在近似锥-次类凸假设下,利用择一性定理得到了Kuhn-Tucker型最优性必要条件,利用标量化定理得到了Kuhn-Tucker型最优性充分条件.最后给出了一种与(VP)等价的无约束优化.
The set-valued optimization problem with constraints (VP) is considered in the sense of super efficiency in Hausdorff locally convex linear topological spaces. Under the assumption of nearly cone-subconvexlikeness, by applying alternative theorem, a Kuhn-Tucker optimality necessary condition for (VP) is derived, by using scalarization theorem, a sufficient condition is also obtained. Finally, a kind of unconstrained program equivalent to (VP) are established.