69 citations · 252 across the 28 of their papers we have counts for
30 papers
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…
Hoffman constant of the argmin mapping in linear optimization
J. Camacho, M. J. Cánovas, H. Gfrerer +1
The main goal of this paper is to provide a point-based expression for the Hoffman constant of the argmin mapping in linear optimization, understood as the sharp Lipschitz constant…
The Radius of Metric Regularity Revisited
Helmut Gfrerer, Alexander Y. Kruger
The paper extends the 2003 radius of metric regularity theorem by Dontchev, Lewis & Rockafellar by providing an exact formula for the radius with respect to Lipschitz continuous pe…
On the isolated calmness property of implicitly defined multifunctions
Helmut Gfrerer, Jiri V. Outrata
The paper deals with an extension of the available theory of SCD (subspace containing derivatives) mappings to mappings between spaces of different dimensions. This extension enabl…
Radius Theorems for Subregularity in Infinite Dimensions
Helmut Gfrerer, Alexander Y. Kruger
The paper continues our previous work [7] on the radius of subregularity that was initiated by Asen Dontchev. We extend the results of [7] to general Banach/Asplund spaces and to o…
On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction
H. Gfrerer, M. Mandlmayr, J. V. Outrata +1
In the paper, a variant of the \ssstar Newton method is developed for the numerical solution of generalized equations, in which the multi-valued part is a so-called SCD (subspace c…