A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces
In this paper, firstly, we introduce a method for finding common fixed point of L-Lipschitzian and total asymptotically strictly pseudo-non-spreading self-mappings and L-Lipschitzian and total asymptotically strictly pseudo-non-spreading non-self-mappings in the setting of a real uniformly convex Ba...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8332760 |
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| _version_ | 1850159856202285056 |
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| author | Naeem Saleem Imo Kalu Agwu Umar Ishtiaq Fahd Jarad |
| author_facet | Naeem Saleem Imo Kalu Agwu Umar Ishtiaq Fahd Jarad |
| author_sort | Naeem Saleem |
| collection | DOAJ |
| description | In this paper, firstly, we introduce a method for finding common fixed point of L-Lipschitzian and total asymptotically strictly pseudo-non-spreading self-mappings and L-Lipschitzian and total asymptotically strictly pseudo-non-spreading non-self-mappings in the setting of a real uniformly convex Banach space. Secondly, the demiclosedness principle for total asymptotically strictly pseudo-non-spreading non-self-mappings is established. Thirdly, the weak convergence theorems of the proposed method to the common fixed point of the above mappings are proved. Our results improved, extended, and generalized some corresponding results in the literature. |
| format | Article |
| id | doaj-art-b5f958a4860142c6b57b6cc2d8da8047 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b5f958a4860142c6b57b6cc2d8da80472025-08-20T02:23:20ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/8332760A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach SpacesNaeem Saleem0Imo Kalu Agwu1Umar Ishtiaq2Fahd Jarad3Department of MathematicsDepartment of MathematicsOffice of ResearchDepartment of MathematicsIn this paper, firstly, we introduce a method for finding common fixed point of L-Lipschitzian and total asymptotically strictly pseudo-non-spreading self-mappings and L-Lipschitzian and total asymptotically strictly pseudo-non-spreading non-self-mappings in the setting of a real uniformly convex Banach space. Secondly, the demiclosedness principle for total asymptotically strictly pseudo-non-spreading non-self-mappings is established. Thirdly, the weak convergence theorems of the proposed method to the common fixed point of the above mappings are proved. Our results improved, extended, and generalized some corresponding results in the literature.http://dx.doi.org/10.1155/2023/8332760 |
| spellingShingle | Naeem Saleem Imo Kalu Agwu Umar Ishtiaq Fahd Jarad A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces Journal of Mathematics |
| title | A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces |
| title_full | A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces |
| title_fullStr | A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces |
| title_full_unstemmed | A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces |
| title_short | A New Iteration Scheme for Approximating Common Fixed Points in Uniformly Convex Banach Spaces |
| title_sort | new iteration scheme for approximating common fixed points in uniformly convex banach spaces |
| url | http://dx.doi.org/10.1155/2023/8332760 |
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