向量值函数Minimax问题

THE VECTOR-VALUED FUNCTION OF MINIMAX PROBLEM

研究了向量值函数f:X_0×Y_0→R^n的最小最大值问题,证明了f在一定条件下的Min-Max定理,得到了f存在鞍点的充分条件以及鞍点和极大极小集之间的关系。

In this paper, as usual in vector-valued optimization, we consider the partial ordering induced in a Banach space by a close andconvex cone. Under suitable hypotheses, we prove that for every(?)there exists(?)such as that α-β∈D, and f has a saddlepoint (x_0,y_0). Under given con-ditions, we have(?)