集值优化问题Henig真有效解的最优性条件

The Optimization Condition of Henig Proper Efficient Solution for Set-valued Optimization Problem

在线性拓扑空间中,当集值映射为内锥类凸时,利用择一性定理得到了集值优化问题的Henig真有效解的Lagrange型最优性条件.进而给出了它的充分条件及充要条件.然后,利用锥凸分离定理得到了Henig真有效解的Kuhn-Tucker型最优性条件,而且还给出相应的充分条件和充要条件.

In linear topological space, by the aid of the alternative theorem of intcone- con- vexlikeness, the Lagrange type optimality condition for the set-valued optimization problem with constraints is obtained. The sufficient and necessary conditions of the problem is also established. Then by applying separation theorem for convex sets, the Kuhn-Tucker op- timality condition is given, and meanwhile the corresponding sufficient condition and the