11 citations · 30 across the 10 of their papers we have counts for
12 papers
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…
Primal-Dual Stability in Local Optimality
Matus Benko, R. Tyrrell Rockafellar
Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem's parameters, including tilt perturbations. Much less is know…
On the directional asymptotic approach in optimization theory Part A: approximate, M-, and mixed-order stationarity
Matúš Benko, Patrick Mehlitz
We show that, for a fixed order , each local minimizer of a rather general nonsmooth optimization problem in Euclidean spaces is either M-stationary in the classical sense…
Second-order optimality conditions for general nonconvex optimization problems and variational analysis of disjunctive systems
Matus Benko, Helmut Gfrerer, Jane Ye +2
In this paper, we propose second-order sufficient optimality conditions for a very general nonconvex constrained optimization problem, which covers many prominent mathematical prog…
On implicit variables in optimization theory
Matúš Benko, Patrick Mehlitz
Implicit variables of a mathematical program are variables which do not need to be optimized but are used to model feasibility conditions. They frequently appear in several differe…
Calmness and Calculus: Two Basic Patterns
Matúš Benko, Patrick Mehlitz
We establish two types of estimates for generalized derivatives of set-valued mappings which carry the essence of two basic patterns observed troughout the pile of calculus rules.…