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A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space
Authors:I P Ryazantseva
Institution:(1) Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia
Abstract:The concept of a generalized projection operator onto a convex closed subset of a Banach space is modified. This operator is used to construct a first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space. Sufficient conditions for the convergence of the method are found.
Keywords:monotone variational inequalities in a Banach space  first-order continuous method
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