Convergence theorems of modified Ishikawa iterations in Banach spaces
In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformlyconvex Banach space. We study approximation of common fixed point of nonexpansive mappings and nonexpansive semigroups in Banach spa...
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| Format: | Article |
| Language: | English |
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Erdal KARAPINAR
2019-11-01
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| Series: | Results in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/858160 |
| _version_ | 1797919705105694720 |
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| author | Shengquan Weng |
| author_facet | Shengquan Weng |
| author_sort | Shengquan Weng |
| collection | DOAJ |
| description | In this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive
semigroups) to have the strong convergence in a uniformlyconvex Banach space. We study approximation
of common fixed point of nonexpansive mappings and nonexpansive semigroups in Banach space by using a
new iterative scheme. |
| first_indexed | 2024-04-10T13:49:43Z |
| format | Article |
| id | doaj.art-3e7fb1aa09984d048a6395cb7ffc5587 |
| institution | Directory Open Access Journal |
| issn | 2636-7556 2636-7556 |
| language | English |
| last_indexed | 2024-04-10T13:49:43Z |
| publishDate | 2019-11-01 |
| publisher | Erdal KARAPINAR |
| record_format | Article |
| series | Results in Nonlinear Analysis |
| spelling | doaj.art-3e7fb1aa09984d048a6395cb7ffc55872023-02-15T16:10:45ZengErdal KARAPINARResults in Nonlinear Analysis2636-75562636-75562019-11-0123125135Convergence theorems of modified Ishikawa iterations in Banach spacesShengquan WengIn this paper, we introduce the modified iterations of Ishikawa type for nonexpansive mappings (nonexpansive semigroups) to have the strong convergence in a uniformlyconvex Banach space. We study approximation of common fixed point of nonexpansive mappings and nonexpansive semigroups in Banach space by using a new iterative scheme.https://dergipark.org.tr/en/download/article-file/858160strong convergencemodified ishikawa iterationuniformly convex banach spacenonexpansive mappingnonexpansive semigroup |
| spellingShingle | Shengquan Weng Convergence theorems of modified Ishikawa iterations in Banach spaces Results in Nonlinear Analysis strong convergence modified ishikawa iteration uniformly convex banach space nonexpansive mapping nonexpansive semigroup |
| title | Convergence theorems of modified Ishikawa iterations in Banach spaces |
| title_full | Convergence theorems of modified Ishikawa iterations in Banach spaces |
| title_fullStr | Convergence theorems of modified Ishikawa iterations in Banach spaces |
| title_full_unstemmed | Convergence theorems of modified Ishikawa iterations in Banach spaces |
| title_short | Convergence theorems of modified Ishikawa iterations in Banach spaces |
| title_sort | convergence theorems of modified ishikawa iterations in banach spaces |
| topic | strong convergence modified ishikawa iteration uniformly convex banach space nonexpansive mapping nonexpansive semigroup |
| url | https://dergipark.org.tr/en/download/article-file/858160 |
| work_keys_str_mv | AT shengquanweng convergencetheoremsofmodifiedishikawaiterationsinbanachspaces |