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| KKM定理,极小极大不等式的推广和应用 | |
| 引用本文： | 何诣然. KKM定理,极小极大不等式的推广和应用[J]. 四川师范大学学报(自然科学版), 1998, 21(2): 154-158 |
| 作者姓名： | 何诣然 |
| 作者单位： | 四川师范大学数学系 |
| 摘 要： | 首先证明了一个推广的ＫＫＭ定理，利用这一推广得到了新的极小极大不等式．这些结果改进和推广了许多已知的ＫＫＭ定理和极小极大不等式的结论．最后，利用所得极小极大不等式讨论了广义变分不等式的求解问题． |
| 关 键 词： | KKM映象；极小极大不等式；伪单调映象；广义变分不等式 |
KKM THEOREMS, MINIMAX INEQUALITY AND APPLICATION |
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| He Yiran. KKM THEOREMS, MINIMAX INEQUALITY AND APPLICATION[J]. Journal of Sichuan Normal University(Natural Science), 1998, 21(2): 154-158 | |
| Authors: | He Yiran |
| Abstract: | In this Paper, a generalization of KKM theorem is first proved, which unifies and generalizes some classical results.Then a new minimax inequality is obtained. As application, a existence theorem of generalized variational inequalities with pseudomonotone set valued mappings is established. |
| Keywords: | KKM mapping Minimax inequality Pseudomonotone mapping Generalized variational inequality |
| 本文献已被 CNKI 维普 等数据库收录！ | |