Abstract

The authors consider a system of equilibrium problems of the following form find u∗∈S:=⋂i=1NEP(Fi), EP(Fi):={z∈C:Fi(z,v)≥0for all v∈C},i=1,…,N, where C is a closed convex subset of a Hilbert space H and Fi are N bifunctions from C×C into R given exactly or approximatively. For this system, the authors prove a strong convergence theorem for finding a common solution. As an application, finding a common solution for a system of variational inequality problems is given.