String convergence theorems of multi-step iteration with errors for uniformly equi-continuous and asymprotically quasi-nonexpansive mappings

In this paper, we study modi ed multi-step iteration scheme with errors for a nite family of uniformly equi-continuous and asymptotically quasi- nonexpansive mappings in the framework of uniformly convex Banach spaces. By employing the above said scheme we establish some strong convergence theorems to converge to common xed point for a nite family of uniformly equi-continuous and asymptotically quasi-nonexpansive mappings. The results presented in this paper extend and improve the corresponding results of Khan and Fukhar-ud-din [6], Khan and Takahashi [7], Qin et al. [12], Shahzad and Udomene [17], Xu and Noor [20] and some others.