| 非紧完备L-凸度量空间中的GLKKM定理及其对变分不等式和不动点的应用 |
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| 引用本文： | 文开庭.非紧完备L-凸度量空间中的GLKKM定理及其对变分不等式和不动点的应用[J].数学研究及应用,2009,29(1):19-27. |
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| 作者姓名： | 文开庭 |
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| 作者单位： | 毕节学院数学系, 贵州 毕节 551700 |
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| 基金项目： | 贵州省教育厅自然科学基金(No.2008072); 毕节地区自然科学基金(No.2008-06). |
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| 摘 要： | In this paper, a new GLKKM type theorem is established for noncompact complete L-convex metric spaces. As applications, the properties of the solution set of variational in- equalities, intersection point sets, Ky Fan sections and maximal element sets are shown, and a Fan-Browder fixed point theorem is obtained.
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| 关 键 词： | 非线性 泛函分析 线性拓扑空间 研究 |
| 收稿时间： | 2006/12/24 0:00:00 |
| 修稿时间： | 2007/5/25 0:00:00 |
A GLKKM Type Theorem for Noncompact Complete $L$-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points |
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| WEN Kai Ting.A GLKKM Type Theorem for Noncompact Complete $L$-Convex Metric Spaces with Applications to Variational Inequalities and Fixed Points[J].Journal of Mathematical Research with Applications,2009,29(1):19-27. |
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| Authors: | WEN Kai Ting |
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| Institution: | Department of Mathematics, Bijie University, Guizhou 551700, China |
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| Abstract: | In this paper, a new GLKKM type theorem is established for noncompact complete $L$-convex metric spaces. As applications, the properties of the solution set of variational inequalities, intersection point sets, Ky Fan sections and maximal element sets are shown, and a Fan-Browder fixed point theorem is obtained. |
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| Keywords: | $L$-convex metric space noncompact measure transfer compactly open (closed) variational inequality section maximal element fixed point |
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