Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems
We propose and analyze a new iterative scheme with inertial items to approximate a common zero point of two countable d-accretive mappings in the framework of a real uniformly smooth and uniformly convex Banach space. We prove some strong convergence theorems by employing some new techniques compare...
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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 Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6682858 |
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| _version_ | 1849304465010589696 |
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| author | Li Wei Wenwen Yue Yingzi Shang Ravi P. Agarwal |
| author_facet | Li Wei Wenwen Yue Yingzi Shang Ravi P. Agarwal |
| author_sort | Li Wei |
| collection | DOAJ |
| description | We propose and analyze a new iterative scheme with inertial items to approximate a common zero point of two countable d-accretive mappings in the framework of a real uniformly smooth and uniformly convex Banach space. We prove some strong convergence theorems by employing some new techniques compared to the previous corresponding studies. We give some numerical examples to illustrate the effectiveness of the main iterative scheme and present an example of curvature systems to emphasize the importance of the study of d-accretive mappings. |
| format | Article |
| id | doaj-art-0f3288cac20a4ceeb907a6f20f8aaacf |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0f3288cac20a4ceeb907a6f20f8aaacf2025-08-20T03:55:44ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66828586682858Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature SystemsLi Wei0Wenwen Yue1Yingzi Shang2Ravi P. Agarwal3School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, Hebei, ChinaSchool of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, Hebei, ChinaSchool of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, Hebei, ChinaDepartment of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363, USAWe propose and analyze a new iterative scheme with inertial items to approximate a common zero point of two countable d-accretive mappings in the framework of a real uniformly smooth and uniformly convex Banach space. We prove some strong convergence theorems by employing some new techniques compared to the previous corresponding studies. We give some numerical examples to illustrate the effectiveness of the main iterative scheme and present an example of curvature systems to emphasize the importance of the study of d-accretive mappings.http://dx.doi.org/10.1155/2021/6682858 |
| spellingShingle | Li Wei Wenwen Yue Yingzi Shang Ravi P. Agarwal Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems Journal of Mathematics |
| title | Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems |
| title_full | Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems |
| title_fullStr | Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems |
| title_full_unstemmed | Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems |
| title_short | Inertial Iterative Schemes for D-Accretive Mappings in Banach Spaces and Curvature Systems |
| title_sort | inertial iterative schemes for d accretive mappings in banach spaces and curvature systems |
| url | http://dx.doi.org/10.1155/2021/6682858 |
| work_keys_str_mv | AT liwei inertialiterativeschemesfordaccretivemappingsinbanachspacesandcurvaturesystems AT wenwenyue inertialiterativeschemesfordaccretivemappingsinbanachspacesandcurvaturesystems AT yingzishang inertialiterativeschemesfordaccretivemappingsinbanachspacesandcurvaturesystems AT ravipagarwal inertialiterativeschemesfordaccretivemappingsinbanachspacesandcurvaturesystems |