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...
| Published in: | MANAS: Journal of Engineering |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Kyrgyz Turkish Manas University
2023-12-01
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| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/3410876 |
| _version_ | 1849636491581456384 |
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| author | Nazlı Kadıoğlu Karaca |
| author_facet | Nazlı Kadıoğlu Karaca |
| author_sort | Nazlı Kadıoğlu Karaca |
| collection | DOAJ |
| container_title | MANAS: Journal of Engineering |
| description | 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. |
| format | Article |
| id | doaj-art-e4efe9195f5041b2a052d37671d4c6da |
| institution | Directory of Open Access Journals |
| issn | 1694-7398 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Kyrgyz Turkish Manas University |
| record_format | Article |
| spelling | doaj-art-e4efe9195f5041b2a052d37671d4c6da2025-08-20T02:21:18ZengKyrgyz Turkish Manas UniversityMANAS: Journal of Engineering1694-73982023-12-0111222322810.51354/mjen.13610031437On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic spaceNazlı Kadıoğlu Karaca0https://orcid.org/0000-0002-6308-5879Atatürk Üniversitesi, Fen Fakültesi, Matematik BölümüIn 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.https://dergipark.org.tr/en/download/article-file/3410876fixed pointgeneralizednonexpansive mappingsuniformly convex hyperbolicspace |
| spellingShingle | Nazlı Kadıoğlu Karaca On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space fixed point generalizednonexpansive mappings uniformly convex hyperbolicspace |
| title | On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space |
| title_full | On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space |
| title_fullStr | On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space |
| title_full_unstemmed | On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space |
| title_short | On approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space |
| title_sort | on approximating fixed points of a new class of generalized nonexpansive mappings in uniformly convex hyperbolic space |
| topic | fixed point generalizednonexpansive mappings uniformly convex hyperbolicspace |
| url | https://dergipark.org.tr/en/download/article-file/3410876 |
| work_keys_str_mv | AT nazlıkadıoglukaraca onapproximatingfixedpointsofanewclassofgeneralizednonexpansivemappingsinuniformlyconvexhyperbolicspace |