69 citations · 252 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
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…