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：《常熟理工学院学报》2007年第10期35-37,共3页Journal of Changshu Institute of Technology

基　　金：贵州省科技厅基金课题(NO2003301)

摘　　要：引进了一类集值映射的广义梯度,证明了在一定条件下广义梯度的存在性,给出了集值映射优化问题一些有效解的最优条件.A kind of Generalized Gradient Of Set-valued Mapping is introduced in this paper. Its existence is proved and the optimality conditions of some kinds of efficient solutions of set-valued optimization problems are presented in generalized gradient. This kind of Generalized Gradient Of Set-valued Mapping is used in much more areas.

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]