3 papers
math.OC2020
R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimization
Patrick Mehlitz, Leonid I. Minchenko
The presence of Lipschitzian properties for solution mappings associated with nonlinear parametric optimization problems is desirable in the context of stability analysis or bileve…
math.OC2020
A note on partial calmness for bilevel optimization problems with linearly structured lower level
Patrick Mehlitz, Leonid I. Minchenko, Alain B. Zemkoho
Partial calmness is a celebrated but restrictive property of bilevel optimization problems whose presence opens a way to the derivation of Karush--Kuhn--Tucker-type necessary optim…
math.OC2019
On Lipschitz-like continuity of a class of set-valued mappings
Ewa M. Bednarczuk, Leonid I. Minchenko, Krzysztof E. Rutkowski
We study set-valued mappings defined by solution sets of parametric systems of equalities and inequalities. We prove Lipschitz-like continuity of these mappings under relaxed const…