摘要
给出了一类新的广义一致伪拟(F,α,ρ,d)-I型凸函数,利用这类新的广义凸函数,得到了涉及广义一致强伪拟、弱严格伪拟、弱伪拟以及伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的最优性条件.同时给出了Mond-Weir与Wolfe型混合对偶模型,得到了涉及广义一致伪拟、严格伪拟(F,α,ρ,d)-I型凸函数的多目标半无限规划的弱对偶定理.
A class of new generalized uniform pseudoquasi(F,α,ρ,d)-Itype function are given.The optimality conditions for a class of multiobjective semi-infinite programming are obtained involving generalized uniform strong pseudoquasi,weak strictly pseudoquasi,weak pseudoquasi and pseudoquasi(F,α,ρ,d)-I type function.The mixed type duality model for the multiobjective semi-infinite programming problem are formulated and weak mixed type duality theorems are established relating generalized uniform pseudoquasi,strictly pseudoquasi weak(F,α,ρ,d)-I type function.
出处
《西南大学学报(自然科学版)》
CAS
CSCD
北大核心
2017年第3期55-61,共7页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(61171195)
陕西省教育厅科研基金(12jk0867)
延安大学科研基金(YDQ2013-08)