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Fan’s Existence Theorem for Inequalities Concerning Convex Functions and Its Applications

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Minimax Theory and Applications

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 26))

Abstract

In [5], Fan proved the following useful existence theorem for inequalities concerning convex functions in topological vector spaces, by using his minimax theorem [3].

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Author information

Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro-ku, Tokyo 152, Japan

    Wataru Takahashi

Authors
  1. Wataru Takahashi
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Catania, Catania, Italy

    Biagio Ricceri

  2. Department of Mathematics, University of California at Santa Barbara, Santa Barbara, California, USA

    Stephen Simons

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© 1998 Springer Science+Business Media Dordrecht

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Takahashi, W. (1998). Fan’s Existence Theorem for Inequalities Concerning Convex Functions and Its Applications. In: Ricceri, B., Simons, S. (eds) Minimax Theory and Applications. Nonconvex Optimization and Its Applications, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9113-3_17

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  • DOI: https://doi.org/10.1007/978-94-015-9113-3_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5030-4

  • Online ISBN: 978-94-015-9113-3

  • eBook Packages: Springer Book Archive

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