可导集值向量优化的最优性条件(英文)  

Optimality Conditions of Vector Optimization Involving Derivable Set-valued Maps

作　　者：贾继红[1] 赵东涛[2] 

机构地区：[1]东莞理工学院数学系,东莞523808 [2]第四军医大学数理教研室,西安710032

出　　处：《工程数学学报》2011年第4期544-548,共5页Chinese Journal of Engineering Mathematics

基　　金：The National Natural Science Foundation of China(11071087)

摘　　要：本文研究了集值优化问题的最优性条件.引入了集值映射Clark切导数的概念,利用Clark切导数,给出了集值优化弱有效解的一个最优性必要条件.建立了集值映射伪凸和拟凸的概念,并获得了弱有效解的两个最优性充分条件.The aim of this paper is to develop the optimality conditions of set-valued optimization. We introduce Clark＇s tangent derivative of the set-valued map. Then we develop a necessary optimality condition of set-valued optimization based on Clark＇s tangent derivative of set- valued map. We establish the concepts of pseudoconvex and qusiconvex of the set-valued map, and then investigate two sufficient optimality conditions for the weak efficient solution.

关 键 词：最优性条件 集值映射 条件锥 Clark切导数 

分 类 号：O224[理学—运筹学与控制论]