Min LiZhongbing XiePrasit CholamjiakKunrada Kankam2025-03-102025-03-102024Computational and Applied Mathematics2238360310.1007/s40314-024-02597-72-s2.0-85183747160https://repository.dusit.ac.th//handle/123456789/4501In this paper, we present an inertial iterative method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces. Under appropriate conditions, we improve the convergence efficiency of our proposed algorithm by introducing a new step size and iteration rule, and further derive a strong convergence theorem. Finally, we demonstrate through numerical experiments that our new algorithm compares favourably with existing methods in terms of convergence behaviour. © 2024, The Author(s) under exclusive licence to Sociedade Brasileira de Matem‡tica Aplicada e Computacional.Banach spaceEquilibrium problemFixed pointStrong convergenceArticleScopus