Scalar characterization of explicitly quasiconvex set-valued maps
AbstractThis 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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Bibliographic InfoPaper provided by Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano in its series Departmental Working Papers with number 2008-01.
Date of creation: 31 Jan 2008
Date of revision:
Explicitly quasiconvex set-valued maps; ordered linear spaces; strictly monotonic functionals; scalarization;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-06-17 (All new papers)
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