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- W4205877773 abstract "A novel algorithm for solving variational inequalities in a Banach space is proposed and studied. The proposed algorithm is an adaptive variant of the forward-reflected-backward algorithm, where the used rule for updating the step size does not require knowledge of the Lipschitz continuous constant of the operator. In addition, the Alber generalized projection is used instead of the metric projection onto the feasible set. For variational inequalities with monotone and Lipschitz continuous operators acting in a 2-uniformly convex and uniformly smooth Banach space, a theorem on the weak convergence of the method is proved." @default.
- W4205877773 created "2022-01-26" @default.
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- W4205877773 date "2021-01-01" @default.
- W4205877773 modified "2023-10-01" @default.
- W4205877773 title "A Novel Algorithm with Self-adaptive Technique for Solving Variational Inequalities in Banach Spaces" @default.
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- W4205877773 doi "https://doi.org/10.1007/978-3-030-92711-0_4" @default.
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