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: