Characterizations of convex and quasiconvex set-valued maps

Joël Benoist and Nicolae Popovici

Mathematical Methods of Operations Research, 2003, vol. 57, issue 3, 427-435

Abstract: The aim of this paper is to characterize in terms of classical convexity and quasiconvexity of extended real-valued functions those set-valued maps which are K-convex or K-quasiconvex with respect to a convex cone K. In particular, we recover some known characterizations of K-convex and K-quasiconvex vector-valued functions. Copyright Springer-Verlag Berlin Heidelberg 2003

Keywords: Key words: Generalized convex set-valued maps; scalarization; polar cones (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/s001860200260

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