2023/10/31 by Chinedu Izuchukwu, Izuchukwu, Chinedu, Grace Ogwo +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #47H09 #47H10 #49J20 #49J40 #Advanced Optimization Algorithms Research #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2310.20368
openalex publication_date 2023/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space. Our proposed method contains inertial factor with new conditions that only depend on the iteration coefficient. We obtain a weak convergence result of the proposed method under weaker conditions on the inertial factor than many existing conditions in the literature. Finally, we present some numerical experiments for our proposed method in comparison with existing methods in the literature. Our result improves, extends and generalizes several existing results in the literature.