集值优化问题Benson真有效解的高阶Fritz John型最优性条件(英文)  

Higher-Order Fritz John Type Optimality Conditions for Benson Proper Efficient Solutions in Set-Valued Optimization Problems

作　　者：王其林[1,2] 

机构地区：[1]重庆交通大学理学院,重庆400074 [2]重庆大学数理学院,重庆400044

出　　处：《运筹学学报》2009年第3期1-9,共9页Operations Research Transactions

基　　金：supported by the National Natural Science Foundation of China(No.10871216);Natural Science Foundation of CQ(Nos.2008BB0346 and KJ080404);the Excellent Young Teachers Program of Chongqing Jiaotong University,Chongqing,China

摘　　要：本文讨论的是集值优化问题Benson真有效解的高阶Fritz John型最优性条件.利用Aubin和Frankowska引入的高阶切集和凸集分离定理,在锥-似凸映射的假设条件下,获得了带广义不等式约束的集值优化问题Benson真有效解的高阶Fritz John型必要和充分性条件.This paper deals with higher-order Fritz John type optimality conditions for Benson proper efficient solutions of set-valued optimization problems. By virtue of the higher-order tangent sets introduced by Aubin and Frankowska and the separation theorem of convex sets, we obtained higher-order Fritz John type necessary and sufficient optimality conditions for Benson proper efficient solutions of set-valued optimization problems with generalized inequality constraints under the assumption of cone-convexlike maps.

关 键 词：运筹学 m-阶相依(邻近)集 锥-似凸映射 集值优化问题 BENSON真有效解 m-阶 Fritz John型条件 

分 类 号：O224[理学—运筹学与控制论] S662.904.3[理学—数学]