Iterative Schemes of Mean Nonexpansive Mapping

Based on Mann iteration, Ishikawa iteration and some other twostep iteration, threestep iteration methods, two new fourstep iteration schemes and one nstep iteration are constructed. A nonempty bounded closed convex subsetIn of a uniformly convex Banach space, the relationship between the two fourst...

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Bibliographic Details
Main Authors: CUI Yunan, ZHANG Jiaxing
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2021-02-01
Series:Journal of Harbin University of Science and Technology
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Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1928
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Summary:Based on Mann iteration, Ishikawa iteration and some other twostep iteration, threestep iteration methods, two new fourstep iteration schemes and one nstep iteration are constructed. A nonempty bounded closed convex subsetIn of a uniformly convex Banach space, the relationship between the two fourstep iterative schemes and the fixed point of the mean nonexpansive mapping T is studied. A sufficient condition for the nstep iteration to converge to the fixed point of the mean nonexpansive mapping T is obtained.
ISSN:1007-2683