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Inertial iterative method for solving equilibrium problems and fixed point problems

  • Min Li,
  • Zhongbing Xie,
  • Prasit Cholamjiak,
  • Kunrada Kankam

摘要

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.