中文摘要：

目的给出一类多目标半无限规划的最优性条件,包括Fritz-John条件和Kuhn-Tucker条件。方法利用K-方向导数以及凸泛函定义了一类新广义一致强伪拟（C,α,ρ,d）-I型等不变凸函数,并讨论了具有该广义凸性的一类多目标半无限规划的最优性条件。结果在新的广义凸函数的约束下,得到了一类多目标半无限规划的最优性条件。结论在此约束条件下得到的最优性条件,适用范围更为广泛。

英文摘要：

Aim To obtain the optimality conditions of a class of multiobjective semi-infinite programming,including Fritz-John conditions and Kuhn-Tucker conditions.Methods A class of a new generalized uniform strong pseudoquasi（C,α,ρ,d）-I-type-convex is defined by using K-directional derivative,the optimality conditions about a class of multiobjective semi-infinite programming are studied.Results The optimality conditions about a class of multiobjective semi-infinite programming are obtained under this new generalized invexity function.Conclusion The optimality conditions in these functions have improtant theoretical significance.