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Scalar characterization of explicitly quasiconvex set-valued maps

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Author Info
Davide LA TORRE ()
Nicolae POPOVICI ()
Matteo ROCCA ()

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Abstract

This paper concerns explicitly quasiconvex set-valued maps,defined on a nonempty convex subset of a real linear space with values in a partially ordered real linear space, with respect to a solid vectorially closed convex cone. It is shown that these generalized convex set-valued maps can be characterized in terms of classical explicit quasiconvexity of certain scalar functions.

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Publisher Info
Paper provided by Department of Economics University of Milan Italy in its series Departemental Working Papers with number 2008-01.

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Date of creation: 31 Jan 2008
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Handle: RePEc:mil:wpdepa:2008-01

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Related research
Keywords: Explicitly quasiconvex set-valued maps; ordered linear spaces; strictly monotonic functionals; scalarization;

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