| 拓扑空间中的抽象广义变分不等式和极大极小不等式 |
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| 引用本文： | 夏福全.拓扑空间中的抽象广义变分不等式和极大极小不等式[J].四川师范大学学报(自然科学版),2000,23(6):565-569. |
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| 作者姓名： | 夏福全 |
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| 作者单位： | 四川师范大学,数学系,四川,成都,610066 |
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| 基金项目： | 国家自然科学基金资助项目! (198710 5 9) |
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| 摘 要： | 利用已知的不动点定理，在非紧Ｈ－空间内得到抽象广义变分不等式解的存在性定理；利用已知的重合点定理，在一般拓扑空间内得到一个极大极小不等式定理，所有这些定理都是新的且推广了一些最近的结果。
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| 关 键 词： | 广义变分不等式 拓扑空间 极大极小不等式 |
| 修稿时间： | : |
Abstract for Generalized Variational Inequalites and Minimax Inequalites in Topological Space |
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| XIA Fu-quan.Abstract for Generalized Variational Inequalites and Minimax Inequalites in Topological Space[J].Journal of Sichuan Normal University(Natural Science),2000,23(6):565-569. |
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| Authors: | XIA Fu-quan |
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| Abstract: | By using a known fixed point theorem, an existence theorem of solutions of generalized variational inequality is proved in noncompact H space. By using a known coincidence theorem, a minimax inequality is established in general topological space. These theorems are new and some results in recent references are generalized to topological space. |
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| Keywords: | Generalized variational inequality Generalized H KKM mapping H quasi convex Compact mapping Contractible space Compactly local intersection property Acyclic mapping |
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