A first-order continuous method for the Antipin regularization of monotone variational inequalities in a Banach space. (Russian. English summary) Zbl 07811631
Zh. Vychisl. Mat. Mat. Fiz. 46, No. 7, 1184-1194 (2006); translation in Comput. Math. Math. Phys. 46, No. 7, 1121-1131 (2006).
Summary: 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.
MSC:
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
References:
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