On Vector Variational Inequalities in Reflexive Banach Spaces
On Vector Variational Inequalities in Reflexive Banach Spaces
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DOI：
10.1007/s10898-003-2686-z
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发表时间：
2005-08
影响因子：
1.8
通讯作者：
N. Huang;Yaping Fang
中科院分区：
文献类型：
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作者：
N. Huang;Yaping Fang
本文研究了自反Banach空间中一类向量变分不等式的可解性。利用browwer不动点定理，证明了这类不带单调假设的向量变分不等式的可解性。利用KKM-Fan引理，给出了这类具有单调映射的向量变分不等式的可解性
In this paper, we study the solvability for a class of vector variational inequalities in reflexive Banach spaces. By using Brouwer fixed point theorem, we prove the solvability for this class of vector variational inequalities without monotonicity assumption. The solvability results for this class of vector variational inequalities with monotone mappings are also presented by using the KKM-Fan lemma