SCALAR CHARACTERIZATION OF EXPLICITLY QUASICONVEX SET-VALUED MAPS
Davide La Torre, Nicolae Popovici, Matteo Rocca · RePEc: Research Papers in Economics · 2008
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.