Alternated inertial subgradient extragradient method with adaptive halfspace correction for pseudo-monotone variational inequalities
Abstract
This paper presents an alternated inertial subgradient extragradient projection method for solving variational inequalities in real Hilbert spaces. The proposed algorithm employing an adaptive halfspace correction parameter at each iteration, has the advantage of improving stability and enhancing convergence. Under suitable conditions, weak convergence and strong convergence are established. Numerical experiments validate the effectiveness of the proposed method compared against existing related algorithms.
Fields of Study & Subjects
Contact Mechanics and Variational Inequalities
Iterative Methods for Nonlinear Equations
Numerical methods in engineering
Publication details
- Journal / source
- Optimization
- Publisher
- Informa UK Limited
- Pages
- 1–23
- Publication date
- 8 June 2026
- Language
- EN