摘要
文章定义了四种集值变分不等式组,即分别具有强解和弱解的集值向量变分不等式组和集值数量化变分不等式组。通过运用Konnov的数量化方法,研究将一个集值向量变分不等式组转化为一个集值数量化变分不等式组,并给出了两种集值变分不等式组的等价条件。
In this paper, four kinds of systems of set-valued variational inequalities were defined, that is, strong and weak systems of set-valued vector variational inequalities, and strong and weak systems of set-valued scalar variational inequalities. By applying the approach of Konnov, the scalar system of set-valued variational inequalities of a system of set-valued vector variational inequalities was presented, then the equivalence of these two systems of set-valued variational inequalities was given.
出处
《四川理工学院学报（自然科学版）》
CAS
2011年第1期38-40,共3页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
四川省教育厅重点科研项目(07ZA123)
关键词
数量化方法
集值向量变分不等式组
Kneser极大极小值定理
弱＊紧
scalarization approach
systems of set-valued vector variational inequalities
Kneser minimax theorem
weakly ＊ compact
