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

作　　者：杨勇[1] 侯再恩[1] 

机构地区：[1]陕西科技大学理学院,陕西西安710021

出　　处：《安徽大学学报（自然科学版）》2012年第6期26-30,共5页Journal of Anhui University(Natural Science Edition)

基　　金：国家天元基金资助项目(A0524602);陕西省教育厅自然科学专项基金资助项目(11JK0488;11JK0496);陕西科技大学自然科学基金资助项目(ZX11-32)

摘　　要：定义ε-预不变凸函数、ε-严格预不变凸函数等广义凸函数概念,对已有的凸函数进行推广,研究并得到了这些广义凸函数的性质.并讨论涉及这类函数的一类多目标半无限规划及其Mond-Weir型对偶规划,得到若干有意义的最优性条件和对偶定理.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 

分 类 号：O221.2[理学—运筹学与控制论]