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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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2021-02-01
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| 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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| _version_ | 1849396632014028800 |
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| author | CUI Yunan ZHANG Jiaxing |
| author_facet | CUI Yunan ZHANG Jiaxing |
| author_sort | CUI Yunan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d72cd4e08b3b49b4aea2b95c90bf02ad |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2021-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-d72cd4e08b3b49b4aea2b95c90bf02ad2025-08-20T03:39:17ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832021-02-01260113013410.15938/j.jhust.2021.01.018Iterative Schemes of Mean Nonexpansive MappingCUI Yunan 0ZHANG Jiaxing1School of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaSchool of Applied Sciences, Harbin University of Science and Technology, Harbin 150080, ChinaBased 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.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1928the mean nonexpansive mappingthe fixed point propertiesiterative scheme |
| spellingShingle | CUI Yunan ZHANG Jiaxing Iterative Schemes of Mean Nonexpansive Mapping Journal of Harbin University of Science and Technology the mean nonexpansive mapping the fixed point properties iterative scheme |
| title | Iterative Schemes of Mean Nonexpansive Mapping |
| title_full | Iterative Schemes of Mean Nonexpansive Mapping |
| title_fullStr | Iterative Schemes of Mean Nonexpansive Mapping |
| title_full_unstemmed | Iterative Schemes of Mean Nonexpansive Mapping |
| title_short | Iterative Schemes of Mean Nonexpansive Mapping |
| title_sort | iterative schemes of mean nonexpansive mapping |
| topic | the mean nonexpansive mapping the fixed point properties iterative scheme |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1928 |
| work_keys_str_mv | AT cuiyunan iterativeschemesofmeannonexpansivemapping AT zhangjiaxing iterativeschemesofmeannonexpansivemapping |