Extragradient Algorithm for Pseudomonotone Equilibrium Problems without Prior Bregman-Lipschitz Information

This paper proposes a new extragradient algorithm for solving pseudomonotone equilibrium problems under Bregman-Lipschitz-type conditions. A key advantage of the method is that it operates without requiring prior information on the Bregman-Lipschitz coefficients. The algorithm ensures weak convergence under mild assumptions, while strong convergence is achieved under additional equilibrium conditions. Its applicability to variational inequality problems is also demonstrated. Numerical experiments confirm the efficiency and superiority of the proposed method over related approaches.

کلیدواژه ها:

Equilibrium problem ، Bregman projection ، pseudomonotone bifunction