<p>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.</p>

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Two Characterizations of Quasiconvexity

  • Włodzimierz Fechner

摘要

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.