Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems

Abstract EN

We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings.

We then prove, in a uniformly smooth and uniformly convex Banach space, strong convergence theorems by using a shrinking projection method.

We finally apply the obtained results to a system of convex minimization problems.