In a recent paper [15], Saddeek introduced the so-called class of generalized strictly pseudo-contractive mappings and established some strong convergence theorems for the generalized modified Krasnoselskii iterative processes developed by Saddeek [15] for finding the minimum norm solutions of certain nonlinear equations when p ≥ 2 in the framework of uniformly convex Banach spaces. This paper develops the work presented in [15] by considering separately the case in which 1 p 2.