The purpose of this work is to establish the weak convergence results of the generalized Mann iterates for finding coincidence points of two self maps satis- fying certain conditions in Banach spaces. An appli- cation of our results to the approximation of a solu- tion of certain nonlinear operator equation with pseu- domonotone operator is also given. Such problems arise in the description of steady state filtration pro- cesses. The results generalizes the corresponding the- orems in [12].