关于集值映射向量优化问题的对偶问题

The Dual Problem of Vector Optimization of Set-valued Maps

在拓扑线性空间中,针对带有约束条件的集值向量优化问题,采用抽象的拉格朗日乘子法,将其转化为无条件集值向量优化问题求解;讨论了其拉格朗日型对偶问题,得到了若干结果.

In real ordered linear topological space, vector optimization of set-valued maps with constrain condition is considered. Using an abstract Lagrange multiplier, it can be transform into a optimal problem with non-constrain condition. The Lagrange＇s type dual problem is discussed and some duality theorem are obtained.