利用极限次微分定义了一类广义一致V-不变凸函数,在新的广义凸函数的约束下,讨论了一类极大极小半无限分式规划的对偶性,得到了弱对偶、强对偶和逆对偶定理.
A class of new generalized uniform V-invexity functions is given by using limiting subdifferentials,the duality of the min-max semi-infinite fractional programming are considered under this new generalized invexity functions and the corresponding duality theorems including of some week duality,strong duality and converse duality theorems are given.