Complete Duality for Convex and Quasiconvex Set-Valued Functions

Authors

Samuel Drapeau, Andreas H. Hamel and Michael Kupper

Date

2016

Journal

Set-Valued and Variational Analysis, 24(2):253–275

Abstract

This paper provides an unique dual representation of set-valued lower semi-continuous quasiconvex and convex functions. The results are based on a duality result for increasing set valued functions.

Keywords

Set Valued Functions, Quasiconvexity, Dual Representation, Increasing Functions, Fenchel-Moreau

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