华东师范大学学报(自然科学版) ›› 2013, Vol. 2013 ›› Issue (2): 116-123.

• 数学 • 上一篇    下一篇

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
  • 收稿日期:2012-03-01 修回日期:2012-06-01 出版日期:2013-03-25 发布日期:2013-03-20

Some minimax inequalities for vector valued mappings

YANG Ruo-yu   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2012-03-01 Revised:2012-06-01 Online:2013-03-25 Published:2013-03-20

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.

关键词: 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.

Key words: minimax inequality, vector valued function, natural quasi cone convex, properly quasi cone convex

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