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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

焦合华 刘三阳

吉林大学学报(理学版)2013,Vol.51Issue(4):613-617,5.
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

焦合华 1刘三阳2

作者信息

  • 1. 西安电子科技大学理学院,西安710071
  • 2. 长江师范学院数学与计算机学院,重庆408100
  • 折叠

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)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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