具有广义凸性的一类半无限向量分式规划的鞍点准则

Saddle-Point Criteria for a Class of Semi- infinite Vector Fractional Programming with Generalized Convexity

利用局部渐近锥K,在定义(F,α,ρ,d)_K-V-凸函数等几类广义凸性基础上,研究涉及这些广义凸性的一类半无限向量分式规划的鞍点。

The definitions of several new generalized convex functions were presented in terms of Local cone ap- proximation K, that are,（F,α,ρ,d） K - V - convex function, （F,α,ρ,d） K - V - pseudo-convex function, （F,α,ρ,d）K - V- quasi-convex function. And some saddle-point criteria for a class of nonsmooth semi-infinite vec- tor fractional programming involving these generalized convexity were studied.