69 citations · 160 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
On the application of the SCD semismooth* Newton method to variational inequalities of the second kind
Helmut Gfrerer, Jiri V. Outrata, Jan Valdman
The paper starts with a description of the SCD (subspace containing derivative) mappings and the SCD semismooth* Newton method for the solution of general inclusions. This method i…
On Lipschitzian properties of implicit multifunctions
Helmut Gfrerer, Jiří V. Outrata
The paper is devoted to the development of new sufficient conditions for the calmness and the Aubin property of implicit multifunctions. As the basic tool one employs the direction…
On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
Helmut Gfrerer, Jiří V. Outrata
The paper concerns the computation of the limiting coderivative of the normal-cone mapping related to inequality constraints under weak qualification conditions. The obtain…
Lipschitz and Hölder stability of optimization problems and generalized equations
Helmut Gfrerer, Diethard Klatte
This paper studies stability aspects of solutions of parametric mathematical programs and generalized equations, respectively, with disjunctive constraints. We present sufficient c…
New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints
Matúš Benko, Helmut Gfrerer
In this paper we consider a sufficiently broad class of nonlinear mathematical programs with disjunctive constraints, which, e.g., include mathematical programs with complemetarity…