Characterizations of convex and quasiconvex set-valued maps

Characterizations of convex and quasiconvex set-valued maps

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Article ID: iaor20041771
Country: Germany
Volume: 57
Issue: 3
Start Page Number: 427
End Page Number: 435
Publication Date: Jan 2003
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: ,
Keywords: sets
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.

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