Journal of Nonlinear and Convex Analysis. An International Journal (J. Nonlinear Convex Anal.) (20240101), 25, no.~2, 241-251. ISSN: 1345-4773 (print).eISSN: 1880-5221.
Subject
47 Operator theory -- 47H Nonlinear operators and their properties 47H05 Monotone operators and generalizations
47 Operator theory -- 47J Equations and inequalities involving nonlinear operators 47J20 Variational and other types of inequalities involving nonlinear operators
65 Numerical analysis -- 65K Mathematical programming, optimization and variational techniques 65K15 Numerical methods for variational inequalities and related problems
Summary: ``In this paper, we inquire into iterative methods for solving pseudomonotone variational inequalities and pseudomonotone equilibrium problems in Hilbert spaces. We propose an iterative algorithm which combines subgradient method with linear search method for solving the investigated problems. We show that the sequence generated by the algorithm converges strongly to a common solution of the pseudomonotone variational inequality and the pseudomonotone equilibrium problem under some weaker conditions.''