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一类向量变分不等式解集的非空性和紧性

Nonemptiness and Compactness of Solution Sets for a Class of Generalized Vector Variational Inequalities
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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. In this paper, a Class of vector variational inequalities introduced by Yu et al is investigated and the non-emptiness and compactness of solution sets for this kind of vector variational inequalities are studied under certain conditions in Hausdorff topological vector spaces.
作者 巫倩
出处 《西华师范大学学报(自然科学版)》 2008年第3期231-233,共3页 Journal of China West Normal University(Natural Sciences)
关键词 向量变分不等式 存在性 伪单调性 KKM定理 vector variational inequalities existence pseudomonotonicity KKM theorem
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参考文献5

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  • 2CHEN G Y. Existence of Solutions for a Vector Variational Inequality: an Extension of Hartmann Stampacchia Theorem [ J ]. Theory Appl. , 1992,74:445 - 456. 被引量:1
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  • 4GIANNESSI F. Vector Variational Inequalities and Vector Equilibrium[ J]. Kluwer Academic Publishers:Dordrecht Boston London,2000. 被引量:1
  • 5YU M ,WANG S Y ,FU W T, et al. On the Existence and Connectedness of Solution Sets of Vector Variational Inequalities[ J]. Math Meth Oper Res. ,2001,54:201 -215. 被引量:1

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