| 一类广义多值向量变分不等式 |
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| 引用本文： | 高大鹏,何中全.一类广义多值向量变分不等式[J].内江师范学院学报,2008,23(2):15-17. |
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| 作者姓名： | 高大鹏 何中全 |
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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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| 摘 要： | 研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题（GMVVIP），把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理．
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| 关 键 词： | 向量变分不等式 多值映象 KKM定理 |
| 文章编号： | 1671-1785(2008)02-0015-03 |
| 修稿时间： | 2007年8月27日 |
A Generalized Vector Inequality for Multi-valued Mappings |
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| GAO Da-peng,HE Zhong-quan.A Generalized Vector Inequality for Multi-valued Mappings[J].Journal of Neijiang Teachers College,2008,23(2):15-17. |
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| Authors: | GAO Da-peng HE Zhong-quan |
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| Institution: | ( School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637002, China) |
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| Abstract: | A class of generalized multi-valued vector variational inequality problem （ in short GMVVIP） is studied in Hausdorff topological vector space. The GMVVIP defined on convex sets is generalized to nonconvex sets partially. Existence theorems of the GMVVIP are proved by using KKM theorem. |
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| Keywords: | vector variational inequality multi-valued mappings KKM theorem |
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