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On a Class of Random Variational Inequalities on Random Sets
Authors:Joachim Gwinner  Fabio Raciti
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
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.
Keywords:Averaging  Coerciveness  Measurability  Mosco convergence  Random set  Random variational inequality  Truncation
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