2 citations · 4 across the 6 of their papers we have counts for
8 papers · 1 filter
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 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…