一类非光滑半无限规划的最优性条件  

Optimality Conditions for a Class of Generalized Semi-infinite Programming

作　　者：贾礼平[1] 邹进[1] 

机构地区：[1]乐山师范学院数学系,四川乐山614004

出　　处：《乐山师范学院学报》2005年第12期3-5,共3页Journal of Leshan Normal University

基　　金：乐山师范学院科研资助课题

摘　　要：本文利用局部渐近锥(local cone approximation),K-方向导数、K-次微分的概念,在[6]的基础上定义了K-(F, α,ρ,d)-B凸、K-(F,α,ρ,d)-B拟凸、K-(F,α,ρ,d)-B伪凸函数,进而研究涉及这些广义凸函数的一类半无限规划的最优性条件,得到了较好的结果．By using concepts of local cone approximation, K-directional derivative and K-subdifferential, K-（F, α,ρ,d）-B convex, K-（F,α,ρ,d）-B quasiconvex,K-（F,α,ρ,d）-B pseudconvex, are given based on [6]. Furthermore, optimality conditions for the chss of semi-infinite programming involving these generalized convexes are studied, the relatively better results are obtained.

关 键 词：半无限规划 最优性条件 非光滑广义凸函数 

分 类 号：O221[理学—运筹学与控制论]