3 citations · 3 across the 6 of their papers we have counts for
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Second-order optimality conditions for optimization problems with generalized equation constraints
M. Benko, H. Gfrerer, J. J. Ye +2
This paper provides second-order optimality conditions for optimization problems with generalized equation constraints (GEPs), a framework that encompasses several important and ch…
Variational Sufficiency and Solution Stability in Optimization
Matúš Benko, R. Tyrrell Rockafellar
Variational stability, in the sense of local good behavior of optimal values and solutions in problems of optimization under shifts in parameters, is important not only for validat…
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…
Why second-order sufficient conditions are, in a way, easy -- or -- revisiting calculus for second subderivatives
Matúš Benko, Patrick Mehlitz
In this paper, we readdress the classical topic of second-order sufficient optimality conditions for optimization problems with nonsmooth structure. Based on the so-called second s…
On the directional asymptotic approach in optimization theory Part B: constraint qualifications
Matúš Benko, Patrick Mehlitz
During the last years, asymptotic (or sequential) constraint qualifications, which postulate upper semicontinuity of certain set-valued mappings and provide a natural companion of…
Sufficient Conditions for Metric Subregularity of Constraint Systems with Applications to Disjunctive and Ortho-Disjunctive Programs
Matúš Benko, Michal Červinka, Tim Hoheisel
This paper is devoted to the study of the metric subregularity constraint qualification (MSCQ) for general optimization problems, with the emphasis on the nonconvex setting. We ela…