In this paper, we introduce a new general iterative process for approximating a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an appropriate space of bounded real-valued functions of the semigroups and the set of solutions a system of variational inequality for finite family of inverse strongly monotone mappings in a real Hilbert space. Our result extends and improves the result announced by H. Piri and A.H. Badali [13] and some others.
