集值映射的广义梯度与弱有效解  

Generalized Gradient of Set-valued Mapping and Weekly Efficient Solution

作　　者：阳南宁[1] 付守贵[1] 赵桂芝[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《重庆文理学院学报（自然科学版）》2007年第6期9-11,共3页Journal of Chongqing University of Arts and Sciences

基　　金：贵州省科技厅基金课题(2003301)

摘　　要：通过介绍弱有效解、Contigent切锥、以及切导数等的定义,引进弱有效意义下集值映射的两种广义梯度概念,并在一定条件下证明他们的包含关系,以及一些其它的性质,并给出了集值映射优化问题一些有效解的最优性条件.We introduce the definition of weak efficient points, contigent tanggent cone and setvalued map＇ s tanggent derivative, and so on. The definition of set - valued map＇ s two generalized gradient are introduced under weak efficient conditions, then we give a description of their relationship under some conditions and property, the existence of generalized gradient are proved under some conditions, in the end we in- troduce setvalued optimality conditions of efficient points.

关 键 词：集值映射 弱有效解 广义梯度 集值优化 

分 类 号：O224[理学—运筹学与控制论]