Minimax Theorem and Saddle Point Theorem without Linear Structure

Zheng Xiyin; Wen Zhonglin

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Zheng Xiyin, Wen Zhonglin. Minimax Theorem and Saddle Point Theorem without Linear Structure[J]. Applied Mathematics and Mechanics, 1998, 19(4): 349-354.

Citation:

Zheng Xiyin, Wen Zhonglin. Minimax Theorem and Saddle Point Theorem without Linear Structure[J]. Applied Mathematics and Mechanics, 1998, 19(4): 349-354.

Citation:

Zheng Xiyin, Wen Zhonglin. Minimax Theorem and Saddle Point Theorem without Linear Structure[J]. Applied Mathematics and Mechanics, 1998, 19(4): 349-354.

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Minimax Theorem and Saddle Point Theorem without Linear Structure

Zheng Xiyin¹,
Wen Zhonglin²

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 Date: 1995-11-10
Rev Recd Date: 1997-12-08
Publish Date: 1998-04-15

Abstract

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.
- minimax theorem,
- saddle point theorem,
- topological space

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References(9)

References

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