An inertial scheme for approximating the solutions of pseudo-monotone equilibrium and common fixed point problems in Banach spaces

In this paper, we propose a new iterative method for approximating a common solution of pseudo-monotone equilibrium problems and common fixed point problems of Bregman quasi-nonexpansive mappings in a p-uniformly convex and uniformly smooth Banach space. Under some weaker conditions, we obtain a strong convergence result. A variational inequality problem is also considered. We present numerical examples to illustrate and support our main convergence theorem.