A Viscosity Iterative Algorithm Technique for Solving a General Equilibrium Problem System
Mahdi Azhini, Masoumeh Cheraghi, Hamid Reza Sahebi · Tamkang Journal of Mathematics · 2019
In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully based on the iteration methods. In this paper, we suggest a viscosity iterative algorithm for nonexpansive semigroup in the framework of Hilbert space. We prove that, the sequence generated by this algorithm under the certain conditions imposed on parameters strongly convergence to a common solution of general equilibrium problem system. Results presented in this paper extend and unify the previously known results announced by many other authors. Further, we give some numerical examples to justify our main results.