Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A SIMPLE PROOF OF THE SION MINIMAX THEOREM

  • Park, Se-Hie (THE NATIONAL ACADEMY OF SCIENCES, DEPARTMENT OF MATHEMATICAL SCIENCES SEOUL NATIONAL UNIVERSITY)
  • Received : 2009.04.09
  • Published : 2010.09.30
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Abstract

For convex subsets X of a topological vector space E, we show that a KKM principle implies a Fan-Browder type fixed point theorem and that this theorem implies generalized forms of the Sion minimax theorem.

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References

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Cited by

  1. On the von Neumann–Sion minimax theorem in KKM spaces vol.23, pp.10, 2010, https://doi.org/10.1016/j.aml.2010.06.011
  2. Minimax Problems for Set-Valued Mappings vol.33, pp.2, 2012, https://doi.org/10.1080/01630563.2011.610915