69 citations · 160 across the 7 of their papers we have counts for
7 papers
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…
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…
New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints
Matúš Benko, Helmut Gfrerer
In this paper we consider a sufficiently broad class of nonlinear mathematical programs with disjunctive constraints, which, e.g., include mathematical programs with complemetarity…
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…
New constraint qualifications for mathematical programs with equilibrium constraints via variational analysis
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…