几类向量值极大极小不等式

杨若愚

几类向量值极大极小不等式

杨若愚

1.
重庆大学~~数学与统计学院, 重庆 401331

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中图分类号: O224
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出版历程
- 收稿日期: 2012-03-01
- 修回日期: 2012-06-01
- 刊出日期: 2013-03-25

Some minimax inequalities for vector valued mappings

YANG Ruo-yu

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

摘要

摘要: 利用线性标量化函数和实值的极大极小定理，在自然拟凸和真拟凸假设下，证明了几类向量值函数极大极小不等式. 并给出了一个例子说明定理结论是是相关文献结果的推广.
- 极大极小不等式 /
- 向量值函数 /
- 自然拟凸 /
- 真拟凸
Abstract: By using a linear scalarization function and minimax equalities in scalar case, some types of minimax inequalities for vector-valued functions were established under natural quasi cone convex and properly quasi cone convex assumptions. An example was given to illustrate that the result is a generalization of the corresponding one in reference.
- minimax inequality /
- vector valued function /
- natural quasi cone convex /
- properly quasi cone convex

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参考文献(1)

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