A new approach to establishing strong convergence theorems for pseudomonotone equilibrium problems
Abstract
In this work we introduce a novel modified subgradient extragradient method for solving equilibrium problems involving pseudomonotone and Lipschitz-type bifunctions in Hilbert spaces. We replace the second minimization problem regarding a closed and convex subset in the extragradient method with a subgradient projection onto a half-space and propose a new method for obtaining strong convergence results. A strong convergence theorem for the generated sequence is analysed and applied to finding a minimum solution under appropriate conditions. In addition, we present several numerical experiments in order to highlight the superior performance of our proposed algorithm in practice.
Fields of Study & Subjects
Optimization and Variational Analysis
Contact Mechanics and Variational Inequalities
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Optimization
- Volume
- 75
- Issue
- 14
- Pages
- 3809–3833
- Publication date
- 10 March 2026
- Language
- EN