| 抽象凸空间的KKM定理及其应用 |
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| 引用本文： | 叶明武.抽象凸空间的KKM定理及其应用[J].贵州大学学报(自然科学版),2009,26(3):4-6,10. |
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| 作者姓名： | 叶明武 |
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| 作者单位： | 贵州大学,理学院,贵州,贵阳,550025 |
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| 基金项目： | 贵州大学青年教师科学基金 |
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| 摘 要： | 首先改进了文献1]中的KKM定理并应用这一定理证明了择一不等式，变分不等式存在性的结果和不动点存在性定理。
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| 关 键 词： | KKM定理 凸结构 抽象凸集 抽象凸空间 |
The KKM Type Theorem and Its Applications on Abstract Convex Spaces |
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| YE Ming-wu.The KKM Type Theorem and Its Applications on Abstract Convex Spaces[J].Journal of Guizhou University(Natural Science),2009,26(3):4-6,10. |
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| Authors: | YE Ming-wu |
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| Institution: | College of Science;Guizhou University;Guiyang 550025;China |
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| Abstract: | Firstly the KKM type theorem was improved in paper1],and then the improved KKM type theorem on abstract convex spaces was used to obtain alternative inequalities,finally alternative inequality problems and fixed point theorem on this space were discussed. |
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| Keywords: | KKM lemma convexity structure abstract convex set abstract convex spaces |
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