Todesco, Chiara (2019) Extrapolation methods for quasi-variational inequalities. [Magistrali biennali]
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Quasi-Variational Inequalities (QVIs) represent a very important tool to model different classes of quasi-equilibrium problems. Since QVIs can be reformulated as fixed point problems, they can be solve using fixed point methods. We hence focus on fixed point methods and, more specifically, on projection methods. In some cases, projection-based approaches for QVIs, do not seem to guarantee good practical performance. Aim of this thesis is to improve effectiveness and robustness of those methods by using extrapolation techniques. Finally some numerical results are displayed to show the behavior of some algorithms combined with two types of acceleration to solve generalized Nash equilibrium problems.
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