Point derivations for Lipschitz functions andClarke's generalized derivative
Vladimir F. Demyanov, Diethard Pallaschke · Applicationes Mathematicae · 1997
Clarke's generalized derivative $f^0(x,v)$ is studied as a function on the Banach algebra Lip(X,d) of bounded Lipschitz functions f defined on an open subset X of a normed vector space E. For fixed $x\in X$ and fixed $v\in E$ the function $f^0(x,v)$ is co