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Regularization of Nonmonotone Variational Inequalities
Authors:Igor V. Konnov  M.S.S. Ali  E.O. Mazurkevich
Affiliation:(1) Department of Applied Mathematics, Kazan University, ul. Kremlevskaya 18, Kazan 420008, Russia;(2) Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt;(3) Informatics Problems Institute of AS RT, Kazan 420012, Russia
Abstract:In this paper we extend the Tikhonov-Browder regularization scheme from monotone to rather a general class of nonmonotone multivalued variational inequalities. We show that their convergence conditions hold for some classes of perfectly and nonperfectly competitive economic equilibrium problems.
Keywords:Multivalued variational inequalities  Regularization  Nonmonotone mappings  Economic equilibrium problems
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