A Concave-Convex Ky Fan Minimax Inequality

被引：0

作者：

Ruiz Galan, Manuel ^{[1
]}

机构：

[1] Univ Granada, ETS Ingn Edificac, Dept Appl Math, C Severo Ochoa S-N, E-18071 Granada, Spain

来源：

MINIMAX THEORY AND ITS APPLICATIONS | 2016年 / 1卷 / 01期

关键词：

Ky Fan's minimax inequality; minimax inequalities; inf-diagonal convexity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the form most frequently used in scalar generalizations of the celebrated Ky Fan minimax inequality, some topological hypotheses and one convexity condition are assumed. In this work we introduce a Ky Fan minimax inequality where the convexity assumption is replaced by a concavity-convexity requirement: a slightly restrictive concavity property on one variable and a new convexity condition, necessary for the validity of such an inequality, in the another one. Our result is different from the aforementioned extensions of the Ky Fan minimax inequality and moreover avoids their vectorial setting.

引用

页码：111 / 124

页数：14

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