4 papers
Simplifying the computation of weak- second subderivatives of convex functionals via -convergence
Gerd Wachsmuth
We prove (under some mild assumptions) that the strong-strong twice epidifferentiability of a convex functional is equivalent to the weak- twice epidifferentiability of its…
Uniqueness and stability of Lagrange multipliers and associated qualification conditions
Patrick Mehlitz, Gerd Wachsmuth
This paper is concerned with uniqueness and stability of Lagrange multipliers for constrained optimization problems in abstract spaces. It is well known that validity of the strict…
Proximal gradient methods in Banach spaces
Gerd Wachsmuth, Daniel Walter
Proximal gradient methods are a popular tool for the solution of structured, nonsmooth minimization problems. In this work, we investigate an extension of the former to general Ban…
No-gap second-order conditions for minimization problems in spaces of measures
Gerd Wachsmuth, Daniel Walter
Over the last years, minimization problems over spaces of measures have received increased interest due to their relevance in the context of inverse problems, optimal control and m…