Browsing by Author "Zhongbing Xie"

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    Inertial iterative method for solving equilibrium problems and fixed point problems
    (Springer Nature, 2024) Min Li; Zhongbing Xie; Prasit Cholamjiak; Kunrada Kankam; Z. Xie; School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China; email: xzbmath@163.com
    In 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.