摘要
本文讨论集值映射∈-超次梯度的性质,建立∈-超次梯度意义下的Moreau-Rockafellar定理.作为应用,借助∈-超次梯度分别得到集值优化取得∈-超有效元的充分和必要条件.
Properties of e-super subgradient for a set-valued map are discussed. Moreau- Rockafellar theorem for ε-super subgradient is established. As an application, with the help of ε-super subgradients, sufficient and necessary optimality conditions for an c-superly efficient element are characterized, respectively.
出处
《应用数学》
CSCD
北大核心
2017年第1期120-126,共7页
Mathematica Applicata
基金
Supported by the National Natural Science Foundation of China(11461044)
the Natural Science Foundation of Jiangxi Province(20151BAB201027)
关键词
∈-超有效点
∈-超次梯度
集值映射
ε-superly efficient point
ε-super subgradient
Set-valued map
