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On Fan's minimax theorem

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Abstract

A new brief proof of Fan's minimax theorem for convex-concave like functions is established using separation arguments.

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References

  1. C.E. Blair, R.J. Duffin and R.G. Jeroslow, “A limiting infisup theorem“,Journal of Optimization Theory and Applications 37 (1982) 163–175.

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  2. K. Fan, “Minimax theorems“,National Academy of Sciences, Washington, DC, Proceedings USA 39 (1953) 42–47.

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  3. R.T. Rockafellar,Convex Analysis (Princeton University Press, Princeton, NJ, 1969).

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  4. J. Stoer and C. Witzgall,Convexity and optimization in finite dimensions: I (Springer-Verlag, New York, 1970).

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 4H8, Halifax, N.S., Canada

    J. M. Borwein & D. Zhuang

Authors
  1. J. M. Borwein
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  2. D. Zhuang
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Borwein, J.M., Zhuang, D. On Fan's minimax theorem. Mathematical Programming 34, 232–234 (1986). https://doi.org/10.1007/BF01580587

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  • DOI: https://doi.org/10.1007/BF01580587

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