Two Characterizations of Quasiconvexity

Włodzimierz Fechner ()
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Włodzimierz Fechner: Lodz University of Technology

Journal of Optimization Theory and Applications, 2025, vol. 206, issue 2, No 11, 10 pages

Abstract: Abstract We present two characterisations of quasiconvexity for radially semicontinuous mappings defined on a convex subset of a real linear space. As applications, we obtain an extension of Sion’s minimax theorem and two characterisations of quasiconvex risk measures.

Keywords: quasiconvexity; quasiconvex risk measure; minimax theorem; semicontinuity; 26A51; 26B25; 49J35; 91G70 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-025-02708-2

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