广义一致(C,α,ρ,d)-凸多目标半无限规划的Mond-Weir对偶性

摘要

在(C,α,p,d)-凸函数的基础上,定义了一类广义一致(C,α,ρ,d)-凸函数,讨论了涉及这类函数的多目标半无限规划的对偶性条件,在更弱的凸性下,获得了一些重要的结果.%The definition of generalized unified (C,a,p,d) -convex function is given based on the definition of (C,a,p,d) -convexity, then the duality for multiobjective nonsmooth semi-infinite programming involving these generalized convexity is studied. Some duality theorems are obtained under weaker convexity conditions lastly.