| 最佳逼近和重合点定理 |
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| 引用本文： | 丁协平.最佳逼近和重合点定理[J].四川师范大学学报(自然科学版),1995,18(2):21-29. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 在本文中，首先证明了一个新的ＦＫＫＭ定理和一个极小极大不等式。作为应用，作者得到了几个涉及间断映象和两个不同拓扑矢量空间的最佳逼近定理和重合点定理。这些结果改进、统一和推广在最近文献中的某些已知结果。
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| 关 键 词： | 最佳逼近 重合点定理 间断映象 FKKM定理 |
BEST APPROXIMATION AND COINCIDENCE THEOREMS |
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| Ding Xieping.BEST APPROXIMATION AND COINCIDENCE THEOREMS[J].Journal of Sichuan Normal University(Natural Science),1995,18(2):21-29. |
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| Authors: | Ding Xieping |
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| Abstract: | In this paper,A new FKKM theorem and a minimax inequality are first proved.As applications,several best approximation theorems and coincidence theorems involving discontinuous mappings and two different topological vector spaces are obtained. The results improve,unify and generalize some known results in the recent literature. |
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| Keywords: | best approximation coincidence theorem discontinuous mapping FKKM theorem minimax inequality |
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