The converse characterization of convex Lipschitzian functions
Let XXX be the domain of a Lipschitzian function F:X→RF:X\to\mathbb{R}F:X→R, and let ∇F(x)\nabla F(\boldsymbol{x})∇F(x) denote the set of subgradients of FFF at x\boldsymbol{x}x. For…