20 citations · 52 across the 33 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…
Elliptic quasi-variational inequalities under a smallness assumption: Uniqueness, differential stability and optimal control
Gerd Wachsmuth
We consider a quasi-variational inequality governed by a moving set. We employ the assumption that the movement of the set has a small Lipschitz constant. Under this requirement, w…
On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem
Constantin Christof, Gerd Wachsmuth
This paper is concerned with second-order optimality conditions for Tikhonov regularized optimal control problems governed by the obstacle problem. Using a simple observation that…
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…
No-gap second-order conditions under -polyhedric constraints and finitely many nonlinear constraints
Gerd Wachsmuth
We consider an optimization problem subject to an abstract constraint and finitely many nonlinear constraints. Using the recently introduced concept of -polyhedricity, we are ab…