In this paper, strong convergence theorems for modified multistep iteration scheme with errors for a finite family of uniformly $\phi$ - continuous and asymptotically quasi-nonexpansive mappings are established in the framework of real uniformly convex Banach spaces. The results presented in this paper extend and improve the corresponding results of Khan and Fukhar-uddin [7], Khan and Takahashi [8], Shahzad and Udomene [18], Xu and Noor [21], Cho et al. [3], Rhoades [14], Schu [15] and some others.