Research Communication | Open Access
Volume 2021 | Communication ID 210
Improvements of some iterative methods for a special common solution of an equilibrium problems, variational inequality and fixed point problems
Ihssane Hay, Abdellah Bnouhachem
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2021
February 15, 2021
March 15, 2021

Abstract: Throughout this paper study a new iterative method for solving an equilibrium problems, a variational inequality and fixed point of a finite family of nonexpansive mapping in a real Hilbert space. Later, we prove the strong convergence of our algorithm under some suitable conditions, to the common element of the solution set of an equilibrium problems, a variational inequality and the set of fixed points problems in the setting of Hilbert spaces. Finally, we give some numerical experiments to illustrate the efficiency of our proposed iterative method. It is worth mentioning that our ...