G-ρ不变凸多目标规划的鞍点条件  

Saddle-point Conditoins of G-ρInvex Multi-objective Programming

作　　者：李向有[1] LI Xiangyou(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《延安大学学报（自然科学版）》2022年第1期86-90,共5页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金项目(61763046);延安大学校级科研计划项目(YDY2020-24)。

摘　　要：利用局部Lipschitz函数,定义了一类G-ρ不变凸函数、G-ρ不变拟凸函数、G-ρ不变伪凸函数和不完全Lagrange函数鞍点,研究了涉及此类函数的半无限多目标规划问题,得到了不完全Lagrange函数鞍点的充分性条件和必要性条件。从而在新的更弱凸性下推广了鞍点条件。By using local Lipschitz function,a class of new G-ρinvex functions,G-ρquasi invex function,G-ρpseudo invex function and incomplete lagrange function saddle point were defined,semi-infinite multi-objective programming problems involving the new defined functions were researched,sufficient conditions and necessary conditions of incomplete lagrange function saddle point were obtained,saddle point conditions were generalized under the new weaker convexity.

关 键 词：G-ρ不变凸函数 多目标 半无限 鞍点 

分 类 号：O221.6[理学—运筹学与控制论] O224[理学—数学]