(F,α,ρ,d)-凸多目标分式规划的鞍点准则  

Saddle-point criteria of(F,α,ρ,d)invex multi-objective fractional programming

作　　者：刘文艳 李向有[1] 袁静 LIU Wenyan;LI Xiangyou;YUAN Jing(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）》2023年第4期99-103,共5页Journal of Yan'an University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11961072);陕西省教育厅科研资助项目(17JK0860)。

摘　　要：基于局部Lipschitz函数,利用(F,α,ρ,d)-凸函数研究了涉及此类函数的非线性多目标分式规划问题的鞍点条件,得到了多目标分式规划问题的Lagrange函数鞍点的充分性和必要性条件。研究结果推广了鞍点准则的适用性。By using local Lipschitz function,a class of(F,α,ρ,d)invex functions were defined,multi-objective fractional programming problems involving the new defined functions were researched,sufficient and necessary conditions for the saddle point of Lagrange function of multi-objective fractional programming problem were obtained.Thus,the applicability of the saddle point criterion is extended.

关 键 词：(F α ρ d)-凸函数 多目标分式规划 不可微 鞍点 

分 类 号：O221.6[理学—运筹学与控制论]