30 citations · 92 across the 38 of their papers we have counts for
5 papers · 1 filter
New Constraint Qualifications for Optimization Problems in Banach Spaces based on Asymptotic KKT Conditions
Eike Börgens, Christian Kanzow, Patrick Mehlitz +1
Optimization theory in Banach spaces suffers from the lack of available constraint qualifications. Despite the fact that there exist only a very few constraint qualifications, they…
Sufficient optimality conditions in bilevel programming
Patrick Mehlitz, Alain B. Zemkoho
This paper is concerned with the derivation of first- and second-order sufficient optimality conditions for optimistic bilevel optimization problems involving smooth functions. Fir…
Bilevel optimal control: existence results and stationarity conditions
Patrick Mehlitz, Gerd Wachsmuth
The mathematical modeling of numerous real-world applications results in hierarchical optimization problems with two decision makers where at least one of them has to solve an opti…
A comparison of first-order methods for the numerical solution of or-constrained optimization problems
Patrick Mehlitz
Mathematical programs with or-constraints form a new class of disjunctive optimization problems with inherent practical relevance. In this paper, we provide a comparison of three d…
On the linear independence constraint qualification in disjunctive programming
Patrick Mehlitz
Mathematical programs with disjunctive constraints (MPDCs for short) cover several different problem classes from nonlinear optimization including complementarity-, vanishing-, car…