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Convergence of Iterative Schemes for Multivalued Quasi-Variational Inclusions
Authors:Moudafi  Abdellatif  Noor  Muhammad Aslam
Affiliation:(1) Département Scientifique Interfacultaire, Univeristé Antilles Guyane, GRIMAAG, F-97200 Schoelcher, Martinique, France;(2) Mathematics, Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab Emirates
Abstract:Relying on the resolvent operator method and using Nadler's theorem, we suggest and analyze a class of iterative schemes for solving multivalued quasi-variational inclusions. In fact, by considering problems involving composition of mutivalued operators and by replacing the usual compactness condition by a weaker one, our result can be considered as an improvement and a significant extension of previously known results in this field.
Keywords:variational inclusions  convergence  monotone operators  pseudo-Lipschitz conditions
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