向量值映射的极大极小不等式

张宇; 陈桃; 徐阳栋

向量值映射的极大极小不等式

1.
重庆大学数学与统计学院, 重庆 401331

详细信息

中图分类号: O221.6
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出版历程
- 收稿日期: 2010-09-01
- 修回日期: 2010-12-01
- 刊出日期: 2011-09-25

Minimax inequalities for vector-valued mappings

1.
College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

摘要

摘要: 利用一类非线性标量化函数和非凸分离定理, 在较弱的条件下, 证明了向量值函数的极大极小定理. 并给出具体例子说明, 所得结果推广了相应文献中的结论.
- 非线性标量化函数 /
- 极大极小不等式 /
- 向量值映射
Abstract: By using a kind of nonlinear scalarization functions and nonconvex separation theorems, under weaker assumptions, the minimax theorem for vector-valued mappings was established. An example was given to illustrate that the result improves the corresponding ones in the literatures.
- nonlinear scalarization function /
- minimax inequality /
- vector-valued mapping

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参考文献(1)

[1]

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