带复合函数的分式优化问题的Farkas引理  

The Farkas Lemmas for Fractional Optimization Problem with Composite Functions

作　　者：方东辉[1] 刘伟玲[1] Fang Donghui;Liu Weilin(College of Mathematics and Statistics,Jishou University,Hunan Jishou 416000)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《数学物理学报（A辑）》2018年第5期842-854,共13页Acta Mathematica Scientia

基　　金：国家自然科学基金(11461047);湖南省自然科学基金(2016JJ2099);湖南省教育厅科研基金(17A172)~~

摘　　要：借助Dinkelbach的方法(见文献[1]),将带复合函数的分式优化问题转化为约束优化问题,通过引入新的约束规范条件,建立了约束优化问题的对偶理论,进而刻画了带复合殿数的分式优化问题的Farkas类引理.In this paper, the fractional optimization problem with composite functions is turned into a constraint optimization problem by using the previous method. By introducing some news constraint qualifications, some duality results for the constraint optimization problem are established and some Farkas type lemmas for the fractional optimization problem with composite functions are then given.

关 键 词：分式优化问题 复合函数 约束规范条件 FARKAS引理 

分 类 号：O221.2[理学—运筹学与控制论]