RT Journal Article ID 08305511099225a4 A1 Verlan , Dmitriy A. A1 Semenov, Vladimir V. A1 Chabak , Lyubov M. T1 A Strongly Convergent Modified Extragradient Method for Variational Inequalities with Non-Lipschitz Operators JF Journal of Automation and Information Sciences JO JAI(S) YR 2015 FD 2015-09-10 VO 47 IS 7 SP 31 OP 46 K1 variational inequalities K1 non-Lipschitz operators K1 strongly convergent modified extragradient method K1 priori information about solution K1 strong convergence. AB The regularized modified extragradient method with dynamic rule for finding the step size for solving variational inequalities with monotone operators acting in a Hilbert space is presented. In addition the variants of this method for variational inequalities and operator equations with a priori information about solution, which is given as the set of fixed points of quasinonexpanding operator, are also considerd. Theorems of methods strong convergence without any Lipschitzian continuity assumption on operators are proved. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,458e99eb6cdbe3c1,08305511099225a4.html