Continuity characterisations of differentiability of locally Lipschitz functions
Continuity characterisations of differentiability of locally Lipschitz functions
Recently David Preiss contributed a remarkable theorem about the differentiability of locally Lipschitz functions on Banach spaces which have an equivalent norm differentiable away from the origin. Using his result in conjunction with Frank Clarke's non-smooth analysis for locally Lipschitz functions, continuity characterisations of differentiability can be obtained which generalise …