The paper defines an interval-valued local nonconvexity index for C^{1,1} functions using the Clarke generalized Hessian set, which reduces to the smooth case, vanishes for convex functions, and satisfies invariance and subadditivity properties.
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Local Nonconvexity Indices for \(C^{1,1}\) Functions via Generalized Hessians
The paper defines an interval-valued local nonconvexity index for C^{1,1} functions using the Clarke generalized Hessian set, which reduces to the smooth case, vanishes for convex functions, and satisfies invariance and subadditivity properties.