An explicit viscosity iterative algorithm for finding the solutions of a general equilibrium problem systems

Abstract

Abstract.We suggest an explicit viscosity iterative algorithm for finding a common element of the set of solutions for an general equilibrium problem system (GEPS) involving a bifunction defined on a closed, convex subset and the set of fixed points of a nonexpansive semigroup on another one in Hilbert's spaces. Furthermore, we present some numerical examples(by using MATLAB software) to guarantee the main result of this paper.