In this paper, using d- strongly monotone and l- strictly pseudo-contractive (in the terminology of
Browder-Petryshyn type) mapping F on a real Hilbert space H, we introduce an implicit iterative scheme to
find a common element of the set of solutions of a system of equilibrium problems and the set of fixed points
of amenable semigroup of non-expansive mappings and infinite family of non-expansive mappings on H, with
respect to a sequence of left regular means defined on an appropriate space of bounded real valued functions of
semigroup. Then, we prove the convergence of sequence generated by the suggested algorithm to a unique solution
of the variational inequality.