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Stability and convergence of modified Ishikawa iterative sequences with errors in Banach spaces
Authors:S. S. Chang  W. H. J. Lee  K. K. Tan
Affiliation:(1) Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China;(2) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong;(3) Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, Canada
Abstract:Summary Some stability and convergence theorems of the modified Ishikawa iterative sequences with errors for asymptotically nonexpansive mapping in the intermediate sense and asymptotically pseudo contractive and uniformly Lipschitzian mappings in Banach spaces are obtained.
Keywords:modified Ishikawa iterative sequence with errors  asymptotically nonexpansive mapping in the intermediate sense  asymptotically pseudo-contractive mapping  uniformly Lipschitzian mapping  Kato inequality  T-stability  almost T-stability  weak T-stability
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