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A Minimax Theorem for Lindelöf Sets

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Abstract

In this paper, by relaxing the compact assumption to the Lindelöf one, we establish a noncompact minimax theorem, which complements existing studies of the minimax theorem.

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Acknowledgements

The author would like to thank the anonymous referees for their helpful suggestions and constructive comments which allowed me to greatly improve the results. The author would also like to thank Professor Royset for his time and effort spent on this paper. This research is supported by the National Natural Science Foundation of China (No. 11701214), the Natural Science Foundation of Shandong Province (No. ZR2017BA032) and the Fund of Doctoral Program Research of University of Jinan (No. 160100119).

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Authors and Affiliations

  1. University of Jinan, Jinan, People’s Republic of China

    Chuanfeng Sun

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  1. Chuanfeng Sun
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Correspondence to Chuanfeng Sun.

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Communicated by Johannes O. Royset.

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Sun, C. A Minimax Theorem for Lindelöf Sets. J Optim Theory Appl 179, 127–136 (2018). https://doi.org/10.1007/s10957-018-1349-7

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  • DOI: https://doi.org/10.1007/s10957-018-1349-7

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