Abstract
In the paper, a new kind of concavity of a function defined on a set without linear structure is introduced and a generalization of Fan Ky inequality 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.
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Communicated by Ding Xieping
Project supported by the Science Foundation of Yunnan Province China
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Xiying, Z., Zhonglin, W. Minimax theorem and saddle point theorem without linear structure. Appl Math Mech 19, 375–380 (1998). https://doi.org/10.1007/BF02457542
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DOI: https://doi.org/10.1007/BF02457542