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math.OC2021★ 1 cited
Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control
Constantin Christof, Gerd Wachsmuth
We prove that solution operators of elliptic obstacle-type variational inequalities (or, more generally, locally Lipschitz continuous functions possessing certain pointwise-a.e. co…
math.OC2021
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…