| 集值单调算子的变分不等式 |
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| 引用本文： | 薛西峰,邢志栋.集值单调算子的变分不等式[J].西北大学学报,2006,36(1):10-12. |
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| 作者姓名： | 薛西峰 邢志栋 |
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| 作者单位： | 西北大学数学系 陕西西安710069 |
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| 基金项目： | 陕西省自然科学基金资助项目(2003A10)，陕西省教育厅专项基金资助项目(05JK303) |
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| 摘 要： | 目的对集值单调算子的变分不等式解的存在性进行研究。方法利用KY-FAY及Kneser定理和拓扑向量空间解的性质作为切入点。结果在局部凸Hausdorff拓扑向量空间中得到了解的两个存在定理准则。结论得到了在局部Hausdorff拓扑向量空间中集值单调算子变分不等式解存在的条件,推广了Browder等人的结论。
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| 关 键 词： | 局部凸 Hausdorff拓扑向量空间 单调算子 变分不等式 |
| 文章编号： | 1000-274X（2006）01-0010-03 |
| 收稿时间： | 2004-09-12 |
| 修稿时间： | 2004年9月12日 |
Variational inequalities of set-valued monotone operators |
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| XUE Xi-feng,XING Zhi-dong.Variational inequalities of set-valued monotone operators[J].Journal of Northwest University(Natural Science Edition),2006,36(1):10-12. |
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| Authors: | XUE Xi-feng XING Zhi-dong |
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| Abstract: | Aim To research on the existence of the solution of the variational inequalities of set-valued monotone operators.Methods Use the theorems of KY-FAY and Kneser as well as the properties of solution in the topological vector space.Results Two rules of the existence of the solution were present in the local convex Hausdoff topological vector space.Conclusion The conditions ot the existence of the solution in the local convex hausdoff topological vector space was presented as well as the theories of the operation which Browder had presented were generalized. |
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| Keywords: | locally covex Hausdorff topological vector space weak-compact monotone operator |
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