Journal of Nonlinear and Convex Analysis. An International Journal (J. Nonlinear Convex Anal.) (20220101), 23, no.~12, 2883-2896. ISSN: 1345-4773 (print).eISSN: 1880-5221.
Subject
47 Operator theory -- 47H Nonlinear operators and their properties 47H05 Monotone operators and generalizations 47H10 Fixed-point theorems
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 propose a multi-step iterative algorithm for finding common solutions of pseudomonotone variational inequalities and fixed point problem of pseudocontractive operators in real Hilbert spaces. our iterative algorithm combines self-adaptive subgradient extragradient method and inertial techniques. Strong convergence of the proposed algorithm is proved under some assumptions.''