Approximating Fixed Points of Asymptotically Nonexpansive Mappings by Modified Ishikawa Iteration Process

This paper investigates into the fixed points for asymptotically nonexpansive mappings in uniformly convex Banach X spaces. Employing some analytical skills and methods, it provides a series of lemmas in accordance with the monotony and continuity of the convexity’s modulus and the properties of asymptotically nonexpansive mappings. Moreover, it gives a convergence theorem, which shows that the modified Ishikawa iterative process ｛x_n｝ converges strongly to the fixed points of asymptotically nonexpansive mappings. The result presented improves related results in other papers.