69 citations · 252 across the 28 of their papers we have counts for
4 papers · 1 filter
On the Aubin property of solution maps to parameterized variational systems with implicit constraints
Helmut Gfrerer, Jiri V. Outrata
In the paper a new sufficient condition for the Aubin property to a class of parameterized variational systems is derived. In these systems the constraints depend both on the param…
Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming
Matúš Benko, Helmut Gfrerer, Boris S. Mordukhovich
This paper is devoted to the study of tilt stability of local minimizers, which plays an important role in both theoretical and numerical aspects of optimization. This notion has b…
Linearized M-stationarity conditions for general optimization problems
Helmut Gfrerer
This paper investigates new first-order optimality conditions for general optimization problems. These optimality conditions are stronger than the commonly used M-stationarity cond…
The Radius of Metric Subregularity
Asen L. Dontchev, Helmut Gfrerer, Alexander Y. Kruger +1
There is a basic paradigm, called here the radius of well-posedness, which quantifies the "distance" from a given well-posed problem to the set of ill-posed problems of the same ki…