集值向量极小化问题的最优性条件(英文)

Optimality Conditions for Set-Valued Vector Minimization Problem

用广义相依上导数 ,描述了含不等式约束的集值向量极小化问题的最优性充分条件与Fritz John型最优性必要条件。最后还用相依上导数描述了该集值极小化问题的Kuhn Tucker型最优性必要条件。

For set valued vector minimization problem with inequality constraint, a sufficient optimality condition theorem and a necessary Fritz John type optimality condition theorem is derived in terms of the generalized contingent epiderivative. Finally,a Kuhn Tucker necessary type optimality condition theorem for the set valued vector minimization problem is presented in terms of contingent epiderivative.