| 一类弱凹（凸）函数及其应用 |
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| 引用本文： | 旷华武. 一类弱凹（凸）函数及其应用[J]. 贵州师范大学学报(自然科学版), 1996, 14(1): 64-69 |
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| 作者姓名： | 旷华武 |
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| 作者单位： | 贵州大学数学系 |
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| 摘 要： | 本文引进了一类弱凹（凸）函数，讨论了与之相关的ＫＫＭ映象，Ｋｙ·Ｆａｎ不等式定理与截口定理，并给出了一些应用．
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| 关 键 词： | KKM映象，Ky·Fan不等式，Ky·Fan截口，Browder不动点定理，变分不等式，鞍点 |
A NEW CLASS OF WEAK CONCAVE (CONVEX)FUNCTIONS AND ITS APPLICATIONS |
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| Kuang Huawu. A NEW CLASS OF WEAK CONCAVE (CONVEX)FUNCTIONS AND ITS APPLICATIONS[J]. Journal of Guizhou Normal University(Natural Sciences), 1996, 14(1): 64-69 |
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| Authors: | Kuang Huawu |
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| Abstract: | In this paper, we introduce a new class of weak concave (convex) functions and consider the relations between them and kkm maps. Under these conditions, We also Consider Ky·Fan inequality and section theorem. At last,we obtain an extension of Brouder's fixed point theorem, a Variational inequality and a Saddle Point theorem. |
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| Keywords: | KKM map Ky·Fan inequality Ky·Fan section theorem Varicetional inequality Saddle point |
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