Journal of Mathematics (J. Math.) (20210101), Art ID 2218666, 13~pp. ISSN: 2314-4629 (print).eISSN: 2314-4785.
Subject
47 Operator theory -- 47J Equations and inequalities involving nonlinear operators 47J20 Variational and other types of inequalities involving nonlinear operators
Summary: ``In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor's subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequality in real Hilbert spaces. Strong convergence analysis of the proposed algorithms have been obtained under some mild conditions.''