多目标规划共轭对偶问题的H_α-鞍点定理

H_α-Saddle Point Theorems in Conjugate Duality for Multiobjective Programming

借助一类非闭非凸的 α-较多锥 ,对多目标规划问题引进 Hα- Lagrange映射及其鞍点的概念 ,利用 Hα-共轭映射及其性质得到了两个鞍点定理 。

The H α Lagrange map and its H α saddle point for multiobjective programming problems were defined based on α major cone, which is nonclosed and nonconvex. Two saddle point theorems were proven in according to the H α conjugate map and its properties. At last, the saddle point theorem for a class of multiobjective programming with nonequality constraints was discussed.