Mixed iterative scheme for equilibrium problems, variational inequalities, zero point problems and fixed point problems in 2-uniformly convex Banach spaces

In this paper, we introduce a mixed iterative scheme for approximating the common element of the set of solutions of an equilibrium problem, the set of solutions of variational inequalities for α-inversely strongly monotone operator, the set of zero points of a maximal monotone operator and the set of fixed points of a relatively nonexpansive mapping in a real uniformly smooth and 2-uniformly convex Banach space. Some weak convergence theorems are obtained, to extend the previous work. Moreover, the newly obtained theorems are applied to the convex minimization problems.