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] 旷华武[1] 赵桂芝[1] 付守贵[1] 

机构地区：[1]贵州大学理学院数学系,贵州贵阳550025

出　　处：《宜春学院学报》2007年第6期9-10,共2页Journal of Yichun University

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。a kind of Generalized Gradient Of Set - valued Mapping is introduced , Its existence is proved by some theorem , 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]