1Department of Mathematics, Michael Okpara University of Agriculture,
Umudike, Abia State, Nigeria.
2$Department of Mathematical Sciences, Bayero University Kano, P.M.B. 3011 Kano, Nigeria.
In this paper, we introduce a new algorithm for finding a common fixed point of finite family of continuous pseudocontractive mappings which is a unique solution of some variational inequality problem and whose image under some bounded linear operator is a common solution of some system of equilibrium problems in a real Hilbert space. Our result generalize and improve some well-known results.