A new hybrid Halpern-based extragradient algorithm for a pseudomonotone equilibrium problem and a fixed point problem of nonexpansive mappings in Banach spaces
Journal of Applied and Numerical Optimization · 2024
In this paper, we propose a hybrid Halpern-based extragradient algorithm for finding a common solution of a pseudomonotone equilibrium problem and a fixed point problem of a nonexpansive mapping.We prove the strong convergence of the proposed algorithm under some mixed conditions.Some numerical examples are provided to illustrate the effectiveness of the proposed algorithm.