A Topological Minimax Theorem

G.H. Greco and C.D. Horvath
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G.H. Greco: Universitá di Trento
C.D. Horvath: Université de Perpignan

Journal of Optimization Theory and Applications, 2002, vol. 113, issue 3, No 5, 513-536

Abstract: 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.

Keywords: Minimax theorems; connectedness; lower interconnected functions; lower connected functions; upper connected functions; PP functions; interconnected pairs of multifunctions; topologically concave pairs of multifunctions (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1015308820980

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