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一类向量变分不等式解集的非空性和紧性
引用本文:巫倩. 一类向量变分不等式解集的非空性和紧性[J]. 西华师范大学学报(哲学社会科学版), 2008, 29(3)
作者姓名:巫倩
作者单位:西华师范大学数学与信息学院,四川南充637002
摘    要:进一步研究了Hausdorff拓扑向量空间中的一类向量变分不等式,在一定条件下证明了该向量变分不等式解的非空性和紧性.

关 键 词:向量变分不等式  存在性  伪单调性  KKM定理

Nonemptiness and Compactness of Solution Sets for a Class of Generalized Vector Variational Inequalities
WU Qian. Nonemptiness and Compactness of Solution Sets for a Class of Generalized Vector Variational Inequalities[J]. Journal of China West Normal University:Natural Science Edition, 2008, 29(3)
Authors:WU Qian
Affiliation:WU Qian(School of Mathematics , Information,China West Normal University,Nanchong 637002,China)
Abstract:In this paper,a class of vector variational inequalities introduced by Yu et al is investigated and the nonemptiness and compactness of solution sets for this kind of vector variational inequalities are studied under certain conditions in Hausdorff topological vector spaces.
Keywords:vector variational inequalities  existence  pseudomonotonicity  KKM theorem  
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