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math.OC2026
On the role of semismoothness in nonsmooth numerical analysis: Theory
H. Gfrerer, J. V. Outrata
For the numerical solution of nonsmooth problems, sometimes it is not necessary that an exact subgradient/generalized Jacobian is at our disposal, but it suffices that a semismooth…
math.OC2026
Characterizations of the Aubin property of the KKT-mapping in composite optimization by SC derivatives and quadratic bundles
Helmut Gfrerer, Jiri V. Outrata
For general set-valued mappings, the Aubin property is ultimately tied to limiting coderivatives by the Mordukhovich criterion. Likewise, the existence of single-valued Lipschitzia…