Strong vector variational inequalities in Banach spaces
Strong vector variational inequalities in Banach spaces
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DOI：
10.1016/j.aml.2005.06.008
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发表时间：
2006-04
期刊：
影响因子：
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通讯作者：
Yaping Fang;N. Huang
中科院分区：
文献类型：
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作者：
Yaping Fang;N. Huang
在这项工作中，我们研究了 Banach 空间中一类强向量变分不等式（简称 SVVI）解的一些存在性结果。分别利用 Brouwer 和 Browder 不动点定理给出了不具有单调性的 SVVI 的可解性。利用 Ky Fan 引理还证明了具有单调性的 SVVI 的可解性。我们的结果对陈和侯提出的一个开放性问题给出了肯定的答案。
In this work, we study some existence results for solutions for a class of strong vector variational inequalities (for short, SVVI) in Banach spaces. The solvability of the SVVI without monotonicity is presented by using the fixed point theorems of Brouwer and Browder, respectively. The solvability of the SVVI with monotonicity is also proved by using the Ky Fan lemma. Our results give a positive answer to an open problem proposed by Chen and Hou.