| 集值向量变分不等式组的数量化方法 |
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| 引用本文： | 明国芬.集值向量变分不等式组的数量化方法[J].四川理工学院学报(自然科学版),2011,24(1):38-40. |
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| 作者姓名： | 明国芬 |
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| 作者单位： | 西华师范大学数学与信息学院,四川,南充,637002 |
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| 基金项目： | 四川省教育厅重点科研项目 |
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| 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。
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| 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 |
A Scalarization Approach for a System of Set-valued Vector Variational Inequalities |
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| MING Guo-fen.A Scalarization Approach for a System of Set-valued Vector Variational Inequalities[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011,24(1):38-40. |
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| Authors: | MING Guo-fen |
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| Institution: | MING Guo-fen(College of Mathematics and Information,China West Normal University,Nanchong 637002,China) |
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| Abstract: | 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. |
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| Keywords: | scalarization approach systems of set-valued vector variational inequalities Kneser minimax theorem weakly* compact |
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