Scalar characterization of explicitly quasiconvex set-valued maps

Davide La Torre, Nicolae Popovici () and Matteo Rocca ()

Departmental Working Papers from Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano

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.

Keywords: Explicitly quasiconvex set-valued maps; ordered linear spaces; strictly monotonic functionals; scalarization (search for similar items in EconPapers)
Date: 2008-01-31
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