69 citations · 114 across the 17 of their papers we have counts for
18 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…
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…
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 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…
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 (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives
Helmut Gfrerer, Jiri V. Outrata
The paper deals with a comprehensive theory of mappings, whose local behavior can be described by means of linear subspaces, contained in the graphs of two (primal and dual) genera…
On the solution of contact problems with Tresca friction by the semismooth* Newton method
Helmut Gfrerer, Jiri V. Outrata, Jan Valdman
An equilibrium of a linear elastic body subject to loading and satisfying the friction and contact conditions can be described by a variational inequality of the second kind and th…
On the application of the semismooth* Newton method to variational inequalities of the second kind
Helmut Gfrerer, Jiri V. Outrata, Jan Valdman
The paper starts with a concise description of the recently developed semismooth* Newton method for the solution of general inclusions. This method is then applied to a class of va…
On computation of optimal strategies in oligopolistic markets respecting the cost of change
Jiří V. Outrata, Jan Valdman
The paper deals with a class of parametrized equilibrium problems, where the objectives of the players do possess nonsmooth terms. The respective Nash equilibria can be characteriz…
On a semismooth* Newton method for solving generalized equations
H. Gfrerer, J. V. Outrata
In the paper, a Newton-type method for the solution of generalized equations (GEs) is derived, where the linearization concerns both the single-valued and the multi-valued part of…
Stability analysis for parameterized variational systems with implicit constraints
Matúš Benko, Helmut Gfrerer, Jiří V. Outrata
In the paper we provide new conditions ensuring the isolated calmness property and the Aubin property of parameterized variational systems with constraints depending, apart from th…
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…
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…
On the Aubin property of a class of parameterized variational systems
Helmut Gfrerer, Jiří V Outrata
The paper deals with a new sharp criterion ensuring the Aubin property of solution maps to a class of parameterized variational systems. This class includes parameter-dependent var…
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…
Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints
Boris Mordukhovich, Jiri Outrata, Hector Ramirez
The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal…
Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains
L. Adam, J. V. Outrata, T. Roubicek
A class of evolution quasistatic systems which leads, after a suitable time discretization, to recursive nonlinear programs, is considered and optimal control or identification pro…