On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space
In this paper, we introduce the definition of a new class of generalized nonexpansivemappings in hyperbolic space. Additionally, we construct the rewritten version ofthe Mann iteration process in hyperbolic space. Then, using the iterative procedurewe established, we prove convergence theorems for 𝑎...
| 發表在: | MANAS: Journal of Engineering |
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| 主要作者: | |
| 格式: | Article |
| 語言: | 英语 |
| 出版: |
Kyrgyz Turkish Manas University
2023-12-01
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| 主題: | |
| 在線閱讀: | https://dergipark.org.tr/en/download/article-file/3410876 |
| 總結: | In this paper, we introduce the definition of a new class of generalized nonexpansivemappings in hyperbolic space. Additionally, we construct the rewritten version ofthe Mann iteration process in hyperbolic space. Then, using the iterative procedurewe established, we prove convergence theorems for 𝑎−𝑏−generalized nonexpansivemappings in a uniformly convex hyperbolic space. Lastly, we offer a numericalexample to illustrate our findings. |
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| ISSN: | 1694-7398 |