Support functions for characterizing non-convex sets

This paper proposes a characterization of non-convex sets using cones in place of hyperplane. In this study, we show that the indicator function and the support function of an arbitrary closed set are weak conjugate to each other, where weak conjugate was proposed by Azimov and Gazimov in [1].

کلیدواژه ها:

Non-convex set ، support function ، weak conjugate function