Approximation methods for solutions of system of split equilibrium problems

Document Type: Original Article


1 Department 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.