隐向量优化问题的最优条件

摘要

首先在Hausdorff拓扑空间下,利用二元映射关于单变量的锥拟似凸性得到一个选择定理,进而得到一类向量优化问题弱解存在的充要条件.%First under the cone-subconvexlikeness with respect to one variable of bifunction in Hausdorff topological vector space,an alternative theorem is derived. Then,it obtains the sufficient and necessary condition for the existence of weak-minimum to implicit vector optimization problem.