Title: SCALAR CHARACTERIZATION OF EXPLICITLY QUASICONVEX SET-VALUED MAPS
Abstract: DAVIDE LA TORRE, NICOLAE POPOVICI, AND MATTEO ROCCAAbstract. This paper concerns explicitly quasiconvex set-valued maps, defined on anonempty convex subset of a real linear space with values in a partially ordered reallinear space, with respect to a solid vectorially closed convex cone. It is shown that thesegeneralized convex set-valued maps can be characterized in terms of classical explicitquasiconvexity of certain scalar functions.
Publication Year: 2008
Publication Date: 2008-01-31
Language: en
Type: preprint
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Cited By Count: 2
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