%0 Journal Article %A Safeer Hussain Khan %D 2012 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 63, 2012 %T Convergence of a One-step Iteration Scheme for Quasi-asymptotically Nonexpansive Mappings %U https://publications.waset.org/pdf/9783 %V 63 %X In this paper, we use a one-step iteration scheme to approximate common fixed points of two quasi-asymptotically nonexpansive mappings. We prove weak and strong convergence theorems in a uniformly convex Banach space. Our results generalize the corresponding results of Yao and Chen [15] to a wider class of mappings while extend those of Khan, Abbas and Khan [4] to an improved one-step iteration scheme without any condition and improve upon many others in the literature. %P 269 - 271