Partial extensions of Attouch’s theorem with applications to proto-derivatives of subgradient mappings
Partial extensions of Attouch’s theorem with applications to proto-derivatives of subgradient mappings
Attouch’s Theorem, which gives on a reflexive Banach space the equivalence between the Mosco epi-convergence of a sequence of convex functions and the graph convergence of the associated sequence of subgradients, has many important applications in convex optimization. In particular, generalized derivatives have been defined in terms of the epi-convergence …