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Minimax Theorems Involving Two Functions and Strictly Monotone Transformations of Their Values
作者姓名:Cai-yun  Jin  Cao-zong  Cheng  Yong-tao  Jin  Jing  Li
作者单位:Department of Mathematics, Beijing University of Technology, Beijing 100022, China
基金项目:Acknowledgements. The author would like to thank the referee for detailed comments and useful suggestions on this paper.
摘    要:Two two-function minimax theorems are proved.The concavity-convexity conditions of the twofunctions involve strictly monotone transformations and mixing of the values of the two functions,and aredescribed by the inequalities as upward and weakly downward conditions.

关 键 词:鞍点定理  双函数  严格单调渐增转化  数学分析
收稿时间:2004-02-25
修稿时间:2004-02-252006-04-19

Minimax Theorems Involving Two Functions and Strictly Monotone Transformations of Their Values
Cai-yun Jin Cao-zong Cheng Yong-tao Jin Jing Li.Minimax Theorems Involving Two Functions and Strictly Monotone Transformations of Their Values[J].Acta Mathematicae Applicatae Sinica,2006,22(4):607-614.
Authors:Cai-yun Jin  Cao-zong Cheng  Yong-tao Jin  Jing Li
Institution:(1) Department of Mathematics, Beijing University of Technology, Beijing, 100022, China
Abstract:Two two-function minimax theorems are proved. The concavity-convexity conditions of the two functions involve strictly monotone transformations and mixing of the values of the two functions, and are described by the inequalities as upward and weakly downward conditions.
Keywords:Minimax theorems  two functions  strictly monotone increasing transformation
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