集值优化Benson真有效解的高阶最优性条件  

Higher Order Optimality Conditions for Benson Proper Efficient Solutions of Set-Valued Optimization

作　　者：王其林[1] 王路云[1] 

机构地区：[1]重庆交通大学理学院,重庆400074

出　　处：《广西师范大学学报（自然科学版）》2010年第4期62-65,共4页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10871216);重庆市教育委员会科学技术研究项目(KJ100419);重庆市自然科学基金计划项目

摘　　要：本文主要讨论约束集值优化问题Benson真有效解的高阶最优性条件。在广义凸性条件下,获得集值映射广义高阶上图导数的重要性质和约束集值优化问题的高阶最优性充分与必要条件,所获得的结果推广了文献中的相应结果。This paper mainly discusses optimality conditions for Benson proper efficient solutions of constrained set-valued optimization problems.Firstly,the sufficient condition for Benson proper efficient points of a set is obtained.Secondly,under the generalized convexity,the important properties for higher order epiderivatives of set-valued maps are derived.Finally,higher order necessary and sufficient optimality conditions for Benson proper efficient solutions of constrained set-valued optimization problems are investigated,which generalize the corresponding results of literatures.

关 键 词：集值优化问题 广义高阶上图导数 BENSON真有效解 高阶最优性条件 

分 类 号：O224[理学—运筹学与控制论]