MORDUKHOVICH DERIVATIVES OF THE NORMALIZED DUALITY MAPPING IN BANACH SPACES

Abstract

In this paper, we investigate some properties of the Fr´echet coderivative (Mordukhovich coderivatives) of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0, 1].