1 citations · 1 across the 12 of their papers we have counts for
20 papers
A simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces
Daniel Wachsmuth, Gerd Wachsmuth
We give a simple proof of the Baillon-Haddad theorem for convex functions defined on open and convex subsets of Hilbert spaces. We also state some generalizations and limitations.…
Finding global solutions of some inverse optimal control problems using penalization and semismooth Newton methods
Markus Friedemann, Felix Harder, Gerd Wachsmuth
We present a method to solve a special class of parameter identification problems for an elliptic optimal control problem to global optimality. The bilevel problem is reformulated…
M-stationarity for a class of MPCCs in Lebesgue spaces
Felix Harder, Gerd Wachsmuth
We show that an optimality condition of M-stationarity type holds for minimizers of a class of mathematical programs with complementarity constraints (MPCCs) in Lebesgue spaces. We…
Maximal monotone operators with non-maximal graphical limit
Gerd Wachsmuth
We present a counterexample showing that the graphical limit of maximally monotone operators might not be maximally monotone. We also characterize the directional differentiability…
Subdifferentiation of nonconvex sparsity-promoting functionals on Lebesgue spaces
Patrick Mehlitz, Gerd Wachsmuth
Sparsity-promoting terms are incorporated into the objective functions of optimal control problems in order to ensure that optimal controls vanish on large parts of the underlying…
Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-Variational Inequalities
Constantin Christof, Gerd Wachsmuth
This paper is concerned with the sensitivity analysis of a class of parameterized fixed-point problems that arise in the context of obstacle-type quasi-variational inequalities. We…