|Start Page Number:||354|
|End Page Number:||364|
|Publication Date:||Nov 2016|
|Journal:||Journal of Optimization Theory and Applications|
|Authors:||Grzybowski Jerzy, Pallaschke Diethard, Urbanski Ryszard|
We prove that in finite dimensional spaces every ordered median function is the Minkowski dual of a reduced pair of polytopes. This implies a very general theorem on the representation of an ordered median function as a uniquely determined difference of two sublinear functions up to adding and subtracting one and the same arbitrary sublinear function.