当目标函数和约束函数都是弧连通锥凸时,借助方向导数,利用择一性定理给出了约束向量优化问题取得强有效解的必要条件。利用强有效点的标量化定理给出了向量优化问题取得强有效解的Kuhn-Tucker最优性充分条件。
When both the objective function and constrained function are arcwise connected cone-convex functions,with directional derivative and alternative theorem,the necessary conditions are given for constrained vector-valued optimization problem and its strongly efficient solutions are obtained.By using scalarization theorem for the strongly efficient point,the Kuhn-Tucker sufficient optimality condition is obtained for vector-valued optimization problem to get its strongly efficient solutions.