集值优化问题强有效解的Kuhn Tucker最优性条件

在局部凸空间中考虑集值优化问题（VP）在强有效解意义下的Kuhn-Tucker最优性条件．在近似锥．次类凸假设下利用择一性定理得到了（VP）取得强有效解的必要条件，利用基泛函的性质给出了（VP）取得强有效解的充分条件，最后给出了一种与（VP）等价的无约束规划。

Kuhn-Tucker Optimality Conditions for Set-Valued Optimization Problem in the Sense of Strongly Efficient Solutions

Kuhn-Tucker optimality conditions for the set-valued optimization problem (VP) with constraints are considered in the sense of strongly efficient solutions in locally convex spaces. Under the assumption of nearly cone-subconvexlikeness, by applying alternative theorem, a Kuhn-Tucker optimality necessary condition for (VP) is derived. By using the properties of base functionals, a sufficient condition is also obtained. Finally, a kind of unconstrained program equivalent to (VP) is established.