广义半(E,F)ρ-凸多目标半无限规划的Mond-Weir对偶性  

The Mond-Weir Duality for Multiobjective Semi-Infinite Programming Involving Generalized Semi-(E,F)ρ-Convexity

作　　者：邢苗[1] 张庆祥[1] 高晔[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《安徽师范大学学报（自然科学版）》2014年第2期120-124,共5页Journal of Anhui Normal University(Natural Science)

基　　金：陕西省教育厅专项科研基金资助课题(06JK152);延安大学重点科研项目(YD22012-04);陕西高水平大学建设专项资金资助项目(2012SXTS07)

摘　　要：在局部Lipschitz函数,Clarke广义梯度和半(E,F)凸函数的基础上,定义了半(E,F)ρ-凸函数和拟半(E,F)ρ-凸函数等几类新的广义凸函数,并研究了涉及这类函数的一类多目标半无限规划的Mond-Weir型对偶问题,得到了若干弱对偶和强对偶定理.Based on local Lipschitz functions, Clarke generalized gradients and semi-（E,F）-convex functions, some new generalized convex functions are defined. They are semi-（E,F）ρ-convex function and quasi semi-（E,F）ρ-convex function, etc. In the framework of these generalized convex functions, the Mond-Weir type dual problem is studied for a class of multiobjective semi-infinite programming, and some weak duality and strong duality theorems are obtained.

关 键 词：半(E F)ρ-凸函数 多目标半无限规划 MOND-WEIR型对偶 

分 类 号：P221.2[天文地球—大地测量学与测量工程]