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《Acta Analysis Functionalis Applicata》 2008-01
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Some Strong Convergence Theorems of Modified Ishikawa Iterative Sequences with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces

WANG Xue-wuSchool of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China  
The strong convergence problem of the modified Ishikawa three-step iterative sequence for semi-compacting and nonexpensive mapping is studied in a uniformly convex Banach space. Some strong convergence theorems are established and extends the original iterative methods of Mann and Ishikawa.The results of this paper improve and develop the main results announced by Xu and Jia and others.
【CateGory Index】: O177.91
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