Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications
In the article, we have proposed a new type of hybrid iterative scheme which is a hybrid of Picard and Thakur et al. repetitive schemes. This new hybrid iterative scheme converges faster than all leading schemes like Picard-S∗ hybrid, Picard-S, Picard-Ishikawa hybrid, Picard-Mann hybrid, Thakur et a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4855173 |
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| _version_ | 1832551281409916928 |
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| author | Jie Jia Khurram Shabbir Khushdil Ahmad Nehad Ali Shah Thongchai Botmart |
| author_facet | Jie Jia Khurram Shabbir Khushdil Ahmad Nehad Ali Shah Thongchai Botmart |
| author_sort | Jie Jia |
| collection | DOAJ |
| description | In the article, we have proposed a new type of hybrid iterative scheme which is a hybrid of Picard and Thakur et al. repetitive schemes. This new hybrid iterative scheme converges faster than all leading schemes like Picard-S∗ hybrid, Picard-S, Picard-Ishikawa hybrid, Picard-Mann hybrid, Thakur et al. and Abbas and Nazir, S-iterative, Ishikawa and Mann iterative schemes for contraction mapping. By using the Picard-Thakur hybrid iterative scheme, we can find the solution of delay differential equations and also prove some convergence results for nonexpansive mapping in a uniformly convex Banach space. |
| format | Article |
| id | doaj-art-c20a6aa6d1a746678450dda21373f8a6 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c20a6aa6d1a746678450dda21373f8a62025-02-03T06:01:51ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4855173Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and ApplicationsJie Jia0Khurram Shabbir1Khushdil Ahmad2Nehad Ali Shah3Thongchai Botmart4Anyang Vocational and Technical CollegeDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn the article, we have proposed a new type of hybrid iterative scheme which is a hybrid of Picard and Thakur et al. repetitive schemes. This new hybrid iterative scheme converges faster than all leading schemes like Picard-S∗ hybrid, Picard-S, Picard-Ishikawa hybrid, Picard-Mann hybrid, Thakur et al. and Abbas and Nazir, S-iterative, Ishikawa and Mann iterative schemes for contraction mapping. By using the Picard-Thakur hybrid iterative scheme, we can find the solution of delay differential equations and also prove some convergence results for nonexpansive mapping in a uniformly convex Banach space.http://dx.doi.org/10.1155/2022/4855173 |
| spellingShingle | Jie Jia Khurram Shabbir Khushdil Ahmad Nehad Ali Shah Thongchai Botmart Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications Journal of Function Spaces |
| title | Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications |
| title_full | Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications |
| title_fullStr | Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications |
| title_full_unstemmed | Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications |
| title_short | Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications |
| title_sort | strong convergence of a new hybrid iterative scheme for nonexpensive mappings and applications |
| url | http://dx.doi.org/10.1155/2022/4855173 |
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