广义一致(ρ1,ρ2,ρ3)η-次可微Ⅰ-型预不变凸多目标半无限分式规划的最优性条件

摘要

文中定义了一类新的广义一致(ρ1,ρ2,ρ3)η-次可微Ⅰ-型预不变凸函数,并在新的广义凸函数的约束下,讨论了一类具有该广义凸性的多目标半无限分式规划问题,得到了涉及这类广义凸性一类多目标半无限分式规划的最优性条件.%A class of new generalized uniform (ρ1,ρ2,ρ3) η-semi-differentiable type Ⅰ-preinvex functions are given,the optimization for a class of multi-objective semi-infinite factional programming is studied in this new generalized invexity function and the optimal conditions for a class of multi-objective semi-infinite factional programming are obtained.