非光滑向量极值问题的真有效解与最优性条件

讨论了赋范线性空间中非光滑向量极值问题的Hatley，Borwein,Benson真有效解之间的关系，指出了它们共同的标量极值问题的等价刻画，建立了问题（VMP）的广义KT-真有效解的充分条件，并给出了向量极小值问题在锥局部凸、拟凸、伪凸等条件下的最优性条件。

Weakly Efficient Solution and Optimality Condition for Non-smooth Vector Maximization Problem

In the paper, relations among Hartley's, Borwein's and Benson's proper efficient solutions to vector maximization problems(VMP) are discussed, their equivalent real valued maximization problem is obtained, the sufficient condition of generalized KT proper efficient solution to (VM) is established, and the optimality conditions for vector minimization problems(VP) with cone locally convex, quasiconvex and pseudoconvex objective and constrained functions are given.