Strong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point Problems
Mostafa Ghadampour, Ebrahim Soori, Ravi P. Agarwal, Donal O’Regan · Numerical Functional Analysis and Optimization · 2023
In this paper we introduce a new projection-type algorithm in a reflexive Banach space. Then, using generalized resolvents operators and generalized projections, we prove a strong convergence theorem for computing a common element of the set of fixed points of a Bregman relatively nonexpansive mapping, solutions of an equilibrium problem, fixed points of a resolvent operator and fixed points of an infinite family of Bregman W-mappings.