A Parallel Hybrid Bregman Subgradient Extragradient Method for a System of Pseudomonotone Equilibrium and Fixed Point Problems

We introduce a new parallel hybrid subgradient extragradient method for solving the system of pseudomonotone equilibrium problem and common fixed point in real reflexive Banach spaces. The algorithm is designed such that its convergence does not require prior estimation Lipschitz-like constants finite bifunctions underlying problems. Moreover, strong result proven without imposing conditions on control sequences. further provide some numerical experiments to illustrate performance proposed compare with existing methods.