An improved subgradient extragradient method with two different parameters for solving variational inequalities in reflexive Banach spaces

In this paper, we combine the classical subgradient extragradient method with the Bregman projection method for solving variational inequality problems in reflexive Banach spaces. Specifically, we set two different parameters in the two-step projections, as opposed to consistent parameters in other results. In addition, the application of the inertial technique accelerates the iteration efficiency. Finally, we compare the proposed algorithm with other known results and find that our method effectively improves the convergence process.