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A Topological Minimax Theorem

Author

Listed:
  • G.H. Greco

    (Universitá di Trento)

  • C.D. Horvath

    (Université de Perpignan)

Abstract

We present a topological minimax theorem (Theorem 2.2). The topological assumptions on the spaces involved are somewhat weaker than those usually found in the literature. Even when reinterpreted in the convex setting of topological vector spaces, our theorem yields nonnegligible improvements, for example, of the Passy–Prisman theorem and consequently of the Sion theorem, contrary to most results on topological minimax. This work is part of our ongoing effort to elaborate a coherent theory of minimax.

Suggested Citation

  • G.H. Greco & C.D. Horvath, 2002. "A Topological Minimax Theorem," Journal of Optimization Theory and Applications, Springer, vol. 113(3), pages 513-536, June.
    • Handle: RePEc:spr:joptap:v:113:y:2002:i:3:d:10.1023_a:1015308820980
    DOI: 10.1023/A:1015308820980
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    Cited by:

    1. Monika Syga, 2018. "Minimax Theorems for Extended Real-Valued Abstract Convex–Concave Functions," Journal of Optimization Theory and Applications, Springer, vol. 176(2), pages 306-318, February.

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