11 citations · 16 across the 8 of their papers we have counts for
12 papers · 1 filter
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…
Second-order optimality conditions for non-convex set-constrained optimization problems
Helmut Gfrerer, Jane Ye, Jinchuan Zhou
In this paper we study second-order optimality conditions for non-convex set-constrained optimization problems. For a convex set-constrained optimization problem, it is well-known…
New sharp necessary optimality conditions for mathematical programs with equilibrium constraints
Helmut Gfrerer, Jane J. Ye
In this paper, we study the mathematical program with equilibrium constraints (MPEC) formulated as a mathematical program with a parametric generalized equation involving the regul…
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…
On estimating the regular normal cone to constraint systems and stationarity conditions
Matúš Benko, Helmut Gfrerer
Estimating the regular normal cone to constraint systems plays an important role for the derivation of sharp necessary optimality conditions. We present two novel approaches and in…