TY - JOUR
AU - mahdi azhini
AU - masoumeh cheraghi
AU - hamid reza sahebi
PY - 2019/12/30
Y2 - 2019/12/14
TI - A Viscosity Iterative Algorithm Technique for Solving a General Equilibrium Problem System
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 50
IS - 4
SE - Papers
DO - 10.5556/j.tkjm.50.2019.2831
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2831
AB - 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.
ER -