The Fixed Point Property of Strong Pseudocontraction Mapping
In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given. It is proved that the iterative scheme sequence convergent to the fixed point of strong pseudocontraction mappin...
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| Format: | Article |
| Language: | zho |
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Harbin University of Science and Technology Publications
2020-08-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1856 |
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| _version_ | 1849768061033250816 |
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| author | CUI Yunan ZHU Peng WANG Ping |
| author_facet | CUI Yunan ZHU Peng WANG Ping |
| author_sort | CUI Yunan |
| collection | DOAJ |
| description | In this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given. It is proved that the iterative scheme sequence convergent to the fixed point of strong pseudocontraction mapping or accretive operators. Meanwhile, the result mentioned above is extended to n steps of Ishikawa iteration for strong pseudocontraction mappings and accretive operators. |
| format | Article |
| id | doaj-art-1d5d092c41db44ea8ff746642a913dd6 |
| institution | DOAJ |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2020-08-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-1d5d092c41db44ea8ff746642a913dd62025-08-20T03:03:58ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832020-08-01250414114510.15938/j.jhust.2020.04.020The Fixed Point Property of Strong Pseudocontraction MappingCUI Yunan0ZHU Peng1WANG Ping2School of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaSchool of Applied Sciences，Harbin University of Science and Technology，Harbin 150080，ChinaIn this paper, the iterative methods of fixed point of strong pseudocontraction mappings and accretive operators are studied in Banach spaces. A new threestep Ishikawa iteration is given. It is proved that the iterative scheme sequence convergent to the fixed point of strong pseudocontraction mapping or accretive operators. Meanwhile, the result mentioned above is extended to n steps of Ishikawa iteration for strong pseudocontraction mappings and accretive operators.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1856strong pseudo contraction mappingfixed point propertyishikawa iterationaccretive operator |
| spellingShingle | CUI Yunan ZHU Peng WANG Ping The Fixed Point Property of Strong Pseudocontraction Mapping Journal of Harbin University of Science and Technology strong pseudo contraction mapping fixed point property ishikawa iteration accretive operator |
| title | The Fixed Point Property of Strong Pseudocontraction Mapping |
| title_full | The Fixed Point Property of Strong Pseudocontraction Mapping |
| title_fullStr | The Fixed Point Property of Strong Pseudocontraction Mapping |
| title_full_unstemmed | The Fixed Point Property of Strong Pseudocontraction Mapping |
| title_short | The Fixed Point Property of Strong Pseudocontraction Mapping |
| title_sort | fixed point property of strong pseudocontraction mapping |
| topic | strong pseudo contraction mapping fixed point property ishikawa iteration accretive operator |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1856 |
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