Outer approximated projection and contraction method for solving variational inequalities

• Published in: Journal of inequalities and applications Vol. 2023; no. 1; pp. 141 - 28
• Main Authors: Uzor, V. A., Mewomo, O. T., Alakoya, T. O., Gibali, A.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 02.11.2023; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Applications of Mathematics; Approximation; Convex analysis; Inertial technique; Mathematical analysis; Mathematics; Mathematics and Statistics; Methods; Non-Lipschitz variational inequalities; Projection and contraction method; Relaxation technique; Self-adaptive step size; Sublevel sets; Self-adaptive step size; 47H10; 90C52; 47J40; 90C25; Non-Lipschitz variational inequalities; Sublevel sets; Inertial technique; 47J25; Relaxation technique; Projection and contraction method

In this paper we focus on solving the classical variational inequality (VI) problem. Most common methods for solving VIs use some kind of projection onto the associated feasible set. Thus, when the involved set is not simple to project onto, then the applicability and computational effort of the pro...