参数向量Ky Fan不等式与对偶问题解映射Lipschitz连续性最优条件  

The optimal conditions for Lipschitz continuity of solution mapping to parametric vector primal and dual Ky Fan inequalities

作　　者：孟旭东[1] 郭林[1] 刘冠琦 MENG Xudong;GUO Lin;LIU Guanqi(Science College of Nanchang Hangkong University,Gongqingcheng,Jiangxi 332020,China;Business SchooI,East China University of Political Science and Law,Shanghai 201620,China)

机构地区：[1]南昌航空大学科技学院,江西共青城332020 [2]华东政法大学商学院,上海201620

出　　处：《南昌大学学报（理科版）》2023年第1期16-20,共5页Journal of Nanchang University(Natural Science)

基　　金：江西省教育厅科学技术重点研究项目(GJJ181565,GJJ191614,GJJ218701);南昌航空大学科技学院校级重点科学技术研究项目(KYKJ2108)。

摘　　要：在赋范线性空间中研究参数向量Ky Fan不等式与对偶问题解映射的Lipschitz连续性。提出了参数向量Ky Fan不等式与对偶问题及其有效解的概念,引入了向量函数伪单调性和强拟凸(凹)性,借助分析方法获得了参数向量Ky Fan不等式与对偶问题解映射的Lipschitz连续性最优条件,并举例加以说明。The Lipschitz continuity of solution mapping to parametric vector primal and dual Ky Fan in equalities in normed linear space is studied.The concepts of parameter vector primal and dual Ky Fan inequality and its efficient solutions are proposed, and the pseudo-monotonicity and strong quasiconvexity(quasi-concavity) of vector functions are introduced.The Lipschitz continuity optimality conditions of the solution mapping to parametric vector primal and dual Ky Fan inequalities are obtained by using the analysis method, and give an example to illustrate.

关 键 词：参数向量Ky Fan不等式 对偶问题 LIPSCHITZ连续性 伪单调性 强拟凸(凹)性 

分 类 号：O221.3[理学—运筹学与控制论]