带锥约束多目标规划问题的高阶Wolfe逆对偶  

A Higher Order Wolfe Converse Duality in Multiobjective Programming with Cone Constraints

作　　者：陈玉 邝凯 颜学铃 CHEN Yu;KUANG Kai;YAN Xueling(School of Mathematics and Statistics,Guangxi Normal University,Guilin 541004,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541004

出　　处：《应用数学》2022年第1期66-70,共5页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China (11761014)。

摘　　要：本文对带锥约束多目标规划问题提出一个新的高阶Wolfe逆对偶定理,该结果克服了Kim等(2010)的文章中高阶Wolfe逆对偶定理的缺陷.In this paper, we propose a new converse duality theorem of higher order Wolfe type duality for multiobjetive programming with cone constraints under appropriate assumptions. This overcomes some drawbacks in the results of Kim et al.(2010).

关 键 词：多目标规划 高阶Wolfe对偶 锥 逆对偶定理 

分 类 号：O221[理学—运筹学与控制论]