30 citations · 92 across the 38 of their papers we have counts for
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math.OC2024★ 1 cited
Duality-based single-level reformulations of bilevel optimization problems
Stephan Dempe, Patrick Mehlitz
Usually, bilevel optimization problems need to be transformed into single-level ones in order to derive optimality conditions and solution algorithms. Among the available approache…
math.OC2024
On the directional asymptotic approach in optimization theory
Matúš Benko, Patrick Mehlitz
As a starting point of our research, we show that, for a fixed order , each local minimizer of a rather general nonsmooth optimization problem in Euclidean spaces is eithe…
math.OC2024
Isolated calmness of perturbation mappings in generalized nonlinear programming and local superlinear convergence of Newton-type methods
Matúš Benko, Patrick Mehlitz
In this paper, we characterize Lipschitzian properties of different multiplier-free and multiplier-dependent perturbation mappings associated with the stationarity system of a so-c…