一致K-(Fb,ρ)-凸多目标半无限规划的Wolfe型对偶性  

On duality of Wolfe type for unifined K(F_b , ρ) -convex multiobjective semi-infinite programming

作　　者：杨宏[1] 郭东江 

机构地区：[1]榆林学院数学系,陕西榆林719000 [2]西安远东一中,陕西西安710077

出　　处：《纺织高校基础科学学报》2013年第1期118-124,共7页Basic Sciences Journal of Textile Universities

基　　金：榆林学院科研启动基金资助项目(08GK033)

摘　　要：利用K-方向导数和K-次微分,定义了一致K-(Fb,ρ)-凸,一致K-(Fb,ρ)-伪凸和一致K-(Fb,ρ)-拟凸等一些非光滑非凸函数,并研究了涉及此类广义凸性的一类非光滑多目标半无限规划的Wolfe型对偶性.Some nonsmooth nonconvex functions such as unifined K-（Fb,ρ）-convex, unifined K-（Fb,ρ）- pseudoconvex, unifined K-（Fb,ρ）- quasiconvex functions are defined in terms of the concepts of K-directional derivative and K-subdifferential. And the Wolfe type duality for a class of nonsmooth multiobjectire semi-infinite programming involving those generalized convexity are studied.

关 键 词：非光滑 多目标半无限规划Wolfe型对偶性 一致K-(Fb ρ)-凸函数 

分 类 号：O221.2[理学—运筹学与控制论] O249.29[理学—数学]