2023
DOI: 10.17721/2706-9699.2023.1.02
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The Regularized Operator Extrapolation Algorithm

V. V. Semenov,
O. S. Kharkov

Abstract: This work is devoted to the study of new algorithm for solving variational inequalities in Hilbert spaces. The proposed algorithm is a variant of the operator extrapolation method regularized using the Halpern scheme. The algorithm has an advantage over the Korpelevich extragradient method and the method of extrapolation from the past in terms of the amount of calculations required for the iterative step. For variational inequalities with monotone, Lipschitz continuous operators acting in Hilbert space, a theo… Show more

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References 32 publications
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