一类非光滑多目标半无限规划的混合型对偶

Mixed Type Duality for a Class of Nonsmooth Multiobjective Semi-infinite Programming

利用一类新的广义一致伪拟(C,α,ρ,d)-Ⅰ型以及广义一致弱严格伪拟(C,α,ρ,d)-Ⅰ型凸函数等,讨论了一类非光滑多目标半无限规划的混合型对偶,给出了相应的弱对偶、强对偶以及逆对偶等若干定理,并推广了已有文献中一些结论.

In this paper,by using a new generalized uniform pseudoquasi（C,α,ρ,d）-Ⅰ type-convex and generalized uniform weak strictly pseudoquasi（C,α,ρ,d）-Ⅰ type-convex etc,the mixed type duality for a class of nonsmooth multiobjective semi-infinite programming are discussed and the corresponding duality theorems such as week duality,strong duality and converse duality theorems are given.Some previour results are generalized.