On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces
The present paper seeks to illustrate approximation theorems to the fixed point for generalized α-nonexpansive mapping with the Mann iteration process. Furthermore, the same results are established with the Ishikawa iteration process in the uniformly convex Banach space setting. The presented result...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6652741 |
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| _version_ | 1832547893385363456 |
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| author | Buthinah A. Bin Dehaish Rawan K. Alharbi |
| author_facet | Buthinah A. Bin Dehaish Rawan K. Alharbi |
| author_sort | Buthinah A. Bin Dehaish |
| collection | DOAJ |
| description | The present paper seeks to illustrate approximation theorems to the fixed point for generalized α-nonexpansive mapping with the Mann iteration process. Furthermore, the same results are established with the Ishikawa iteration process in the uniformly convex Banach space setting. The presented results expand and refine many of the recently reported results in the literature. |
| format | Article |
| id | doaj-art-069c981ed4024eabb4b729a78fd1e58b |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-069c981ed4024eabb4b729a78fd1e58b2025-02-03T06:42:49ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/66527416652741On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach SpacesButhinah A. Bin Dehaish0Rawan K. Alharbi1Department of MathematicsDepartment of MathematicsThe present paper seeks to illustrate approximation theorems to the fixed point for generalized α-nonexpansive mapping with the Mann iteration process. Furthermore, the same results are established with the Ishikawa iteration process in the uniformly convex Banach space setting. The presented results expand and refine many of the recently reported results in the literature.http://dx.doi.org/10.1155/2021/6652741 |
| spellingShingle | Buthinah A. Bin Dehaish Rawan K. Alharbi On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces Journal of Function Spaces |
| title | On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces |
| title_full | On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces |
| title_fullStr | On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces |
| title_full_unstemmed | On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces |
| title_short | On Convergence Theorems for Generalized Alpha Nonexpansive Mappings in Banach Spaces |
| title_sort | on convergence theorems for generalized alpha nonexpansive mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2021/6652741 |
| work_keys_str_mv | AT buthinahabindehaish onconvergencetheoremsforgeneralizedalphanonexpansivemappingsinbanachspaces AT rawankalharbi onconvergencetheoremsforgeneralizedalphanonexpansivemappingsinbanachspaces |