In this paper, we consider a multi-step iterative procedure with errors for approximating the common fixed point of a finite family of uniformly quasi-Lipschitzian mappings in convex metric spaces. Under appropriate conditions, some convergence theorems are proved for such iterative sequences involving a finite family of uniformly quasi-Lipschitzian mappings. The results presented in this paper extend, improve and unify some main results in the previous works.

multi-step iterative scheme with errors, convex metric space, uniformly quasi-Lipschitzian mapping, asymptotically quasi-nonexpansive mapping.