Title: Approximating Fixed Points of Asymptotically Nonexpansive Mappings by Modified Ishikawa Iteration Process
Abstract: 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.
Publication Year: 2005
Publication Date: 2005-01-01
Language: en
Type: article
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