69 citations · 252 across the 28 of their papers we have counts for
6 papers · 1 filter
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…
Optimality conditions for disjunctive programs based on generalized differentiation with application to mathematical programs with equilibrium constraints
Helmut Gfrerer
We consider optimization problems with a disjunctive structure of the constraints. Prominent examples of such problems are mathematical programs with equilibrium constraints or van…
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…
An SQP method for mathematical programs with vanishing constraints with strong convergence properties
Matúš Benko, Helmut Gfrerer
We propose an SQP algorithm for mathematical programs with vanishing constraints which solves at each iteration a quadratic program with linear vanishing constraints. The algorithm…
Robinson Stability of Parametric Constraint Systems via Variational Analysis
Helmut Gfrerer, Boris Mordukhovich
This paper investigates a well-posedness property of parametric constraint systems named here Robinson stability. Based on advanced tools of variational analysis and generalized di…