吉林大学学报(理学版)2013,Vol.51Issue(4):613-617,5.DOI:10.7694/jdxblxb20130414
广义Ⅰ型一致不变凸条件下的极大极小分式规划的二阶对偶
Second-Order Duality for Minimax Fractional Programming under Generalized Type Ⅰ Univexity
摘要
Abstract
A new concept of second-order generalized (F,a,ρ,θ)-d-Ⅴ-Ⅰ type univexity was introduced,a minimax fractional programming problem (P) was considered,and a second-order dual model of programming (P) was formulated.And weak duality strong duality and strict converse duality theorems were obtained on the basis of this second-order generalized type Ⅰ univexity.关键词
极大极小规划/分式规划/二阶对偶/广义(F,α,ρ,θ)-d-Ⅴ-Ⅰ型一致不变凸Key words
minimax programming/ fractional programming/ second-order duality/ generalized (F,α,ρ,θ)-d-Ⅴ-Ⅰ type univexity分类
数理科学引用本文复制引用
焦合华,刘三阳..广义Ⅰ型一致不变凸条件下的极大极小分式规划的二阶对偶[J].吉林大学学报(理学版),2013,51(4):613-617,5.基金项目
国家自然科学基金(批准号:60974082). (批准号:60974082)