MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (4): 375-380.

MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE

郑喜印¹, 温忠粦²

1. Department of Mathematics, Yunnan University, Kunming 650091, P. R. China;
2. Institute of Educational Science, South China Normal University, Guangzhou 510631, P. R. China

收稿日期:1997-12-08 修回日期:1997-12-08 出版日期:1998-04-18 发布日期:1998-04-18
基金资助:
Project npportcd by the Science Foundation of Yunnan Province, China

MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE

Zheng Xiyin¹, Wen Zhonglin ²

1. Department of Mathematics, Yunnan University, Kunming 650091, P. R. China;
2. Institute of Educational Science, South China Normal University, Guangzhou 510631, P. R. China

Received:1997-12-08 Revised:1997-12-08 Online:1998-04-18 Published:1998-04-18
Supported by:
Project npportcd by the Science Foundation of Yunnan Province, China

摘要/Abstract

摘要： In the paper ,a new kind of concavity of a function defined on a set without linear structure is introduced and a generalzation of Fan Ky ineqality is given.Minimax theorem in a general topological space is obtained.Moreover,a saddle point theorem on a topological space without any linear structure is established.

关键词: minimax theorem, saddle point theorem, topological space

Abstract: In the paper ,a new kind of concavity of a function defined on a set without linear structure is introduced and a generalzation of Fan Ky ineqality is given.Minimax theorem in a general topological space is obtained.Moreover,a saddle point theorem on a topological space without any linear structure is established.

Key words: minimax theorem, saddle point theorem, topological space

郑喜印;温忠粦. MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(4): 375-380.

Zheng Xiyin;Wen Zhonglin . MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(4): 375-380.

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[3]	张石生;张宪. TOPOLOGICALLY FINITE INTERSECTION PROPERTY AND MINIMAX THEOREMS[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(4): 325-333.

MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE

MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE

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