摘要
在(F,α,ρ,d)-凸性条件下,研究了一类非光滑多目标分式规划问题的对偶问题,给出并证明了该对偶问题的弱对偶定理,强对偶定理和严格逆对偶定理.所得结论改进和推广了相关的结果.
In this paper , a dual problem for a class of nonsmooth multiobjective fractional programming problem with ( F,α,ρ,d)-convexity is studied ,and weak duality theorems, strong duality theorems and strict converse duality theorems for the class of dual problem are obtained and proved .The related results of [6] are generalized and improved .
出处
《湖北民族学院学报(自然科学版)》
CAS
2014年第2期124-127,共4页
Journal of Hubei Minzu University(Natural Science Edition)
基金
湖南省自然科学基金一般项目(11JJ3007)
关键词
(F
α
ρ
d)-凸
非光滑多目标分式规划
弱对偶定理
强对偶定理
严格逆对偶定理
(F,α,ρ,d)-convex
nonsmooth multiobjective fractional programming
weak duality theo-rems
strong duality theorems
strict converse duality theorems