Fixed-point Iteration for (L-α) Uniform Lipschitz Asymptotically Nonexpansive Mapping of Uniform Convex Banach Space
He Zhen · Journal of Hebei University · 2004
Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed,bounded,and convex subset of uniformly convex Banach space.Based on some results given by K Tan and H K Xu~() proved,the convergence of three-step iterations of (L-α) uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space had proved.The results presented extended the corresponding of Xu and Noor~().