A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space |
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Authors: | I. P. Ryazantseva |
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Affiliation: | (1) Nizhni Novgorod State Technical University, ul. Minina 24, Nizhni Novgorod, 603600, Russia |
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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. |
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Keywords: | monotone variational inequalities in a Banach space first-order continuous method |
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