摘要
利用局部渐近锥K,定义了(F,α,ρ,d)K-V-伪凸函数、(F,α,ρ,d)K-V-严格伪凸函数、(F,α,ρ,d)K-V-拟凸函数、(F,α,ρ,d)K-V-弱拟凸函数等几类广义凸函数,研究了涉及这些广义凸性的一类非光滑半无限向量分式规划的最优性条件.
The definitions of several new generalized convex functions are presented in terms of local cone approximation K, that are, (F,α,ρ,d)λ-V-pseudo-convex function,(F,α,ρ,d)λ-V-strictly pseudo-convex function, (F,α,ρ,d)λ-V-quasi-convex function, (F,α,ρ,d)λ-V-weakly quasi-convex function. And some optimality conditions for a class of nonsmooth semi-infinite vector fractional programming involving these generalized convexity are studied.
出处
《河南科学》
2009年第2期132-136,共5页
Henan Science
基金
陕西省自然科学基金资助项目(98SL07)
陕西省教育厅专项科研基金资助课题(06JK152)
延安大学科研基金项目(YDK2005-047)
关键词
半无限向量分式规划
最优性条件
(F
α
ρ
d)K-V-伪凸函数
有效解
semi-infinite vector fractional programming
optimality conditions
(F,α,ρ,d)λ-V-pseudo-convex function: efficient solution