69 citations · 252 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems
Matus Benko, Helmut Gfrerer, Jane Ye +2
In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical prog…