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．
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.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1998年第2期154-158,共5页
Journal of Sichuan Normal University（Natural Science）
关键词
KKM映象
极小极大不等式
伪单调映象
KKM定理
KKM mapping
Minimax inequality
Pseudomonotone mapping
Generalized variational inequality
