On a Class of Random Variational Inequalities on Random Sets |
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Authors: | Joachim Gwinner Fabio Raciti |
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Affiliation: | 1. Institut für Mathematik, Fakult?t für Luft- und Raumfahrtechnik , Universit?t der Bundeswehr München , Neubiberg , Germany Joachim.Gwinner@unibw-muenchen.de;3. Dipartimento di Matematica e Informatica dell'Università di Catania , Facoltà di Ingegneria dell'Università di Catania (sede di Enna) , Catania , Italy |
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Abstract: | We study a class of random variational inequalities on random sets and give measurability, existence, and uniqueness results in a Hilbert space setting. In the special case where the random and the deterministic variables are separated, we present a discretization technique based on averaging and truncation, prove a Mosco convergence result for the feasible random set, and establish norm convergence of the approximation procedure. |
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Keywords: | Averaging Coerciveness Measurability Mosco convergence Random set Random variational inequality Truncation |
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