On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

Abstract The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both are analogous the well-known two-step extragradient algorithm variational inequality problem spaces. proposed iterative use a step size rule based on local bifunction information instead line search technique. Two weak convergence theorems both well-established by letting mild conditions. main results used solve fixed point and problems. Finally, we present several computational experiments demonstrate efficiency effectiveness algorithms.