向量极值问题KT真有效解集的连通性

讨论了向量极值问题 KT真有效解集的连通性问题。给出了当目标函数为一阶可微严格拟凸、约束条件函数为可微拟凸时 ,KT真有效解集是连通的结论。另外当目标空间是二维且有效解集是非空时 ,给出了

In this paper, the connectedness of KTproper efficient solution set for vector minimization is discussed. It is shown that the KTproper efficient solution set is connected if the objective function is differentiable and strictly quasiconvex, and the restricted function is differentiable and quasiconvex. A sufficient condition for the KTproper efficient solution set to be connected is given when the objective functions are two and the efficient solution set is not empty.