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.
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)
关键词
集值映射
弱有效解
广义梯度
集值优化
set-valued mapping
weekly efficient solution
generalized gradient
set-valued optimization.