Subdifferential of the convex approximate function

Abstract

    In this article, we present some results on the subdifferential of the convex approximate function defined on a Banach space  These results were proposed by Huynh Van Ngai, Nguyen Huu Tron and  Michel Théra. However, most of them were not proved in full detail. In here, we present them in more detail with proof.

Keywords: Approximate convex function, subdifferential, convex function, conjugate  function.