In this paper, we propose a new inertial self-adaptive subgradient extragradient algorithm for approximating a common solution in the set of pseudomonotone equilibrium problems and the set of fixed points of a finite family of quasi-ϕ-nonexpansive multivalued mappings in real uniformly convex Banach spaces and uniformly smooth Banach spaces. Strong convergence of the iterative scheme is established. Our results generalize and improve several recent results announced in the literature.