%0 Journal Article %T Complete Duality for Quasiconvex and Convex Set-Valued Functions %A Samuel Drapeau %A Andreas H. Hamel %A Michael Kupper %J Mathematics %D 2014 %I arXiv %X 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. %U http://arxiv.org/abs/1405.0219v4