安徽大学学报（自然科学版）2012，Vol.36Issue(6)：26-30,5.
ε-预不变凸多目标半无限规划的最优性和对偶
Optimality conditions and duality theories involving ε-preinvex multiobjective semi-infinite programming
摘要
Abstract
Some kinds of generalized convex function were defined, that was, ε-preinvex function and ε-strictly preinvex function etc. Some properties of the above generalized convex functions were derived. In the framework of these generalized convex functions, a class of multiobjective semi -infinite programming and its Mond-Weir type dual program was considered, and some interesting optimality conditions and dual theories were obtained.关键词
ε-预不变凸函数/ε-严格预不变凸函数/最优性/Mond-Weir型对偶/半无限规划Key words
e- preinvex function/e- strictly preinvex function/ optimality/ Mond-Weir type dual/fractional semi-infinite programming分类
数理科学引用本文复制引用
杨勇,侯再恩..ε-预不变凸多目标半无限规划的最优性和对偶[J].安徽大学学报（自然科学版）,2012,36(6):26-30,5.基金项目
国家天元基金资助项目(A0524602) （A0524602）
陕西省教育厅自然科学专项基金资助项目(11JK0488,11JK0496) （11JK0488,11JK0496）
陕西科技大学自然科学基金资助项目(ZX11-32) （ZX11-32）
