Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is als...
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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/10.1155/2022/3785584 |
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| _version_ | 1849305353984933888 |
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| author | Naeem Saleem Maliha Rashid Fahd Jarad Amna Kalsoom |
| author_facet | Naeem Saleem Maliha Rashid Fahd Jarad Amna Kalsoom |
| author_sort | Naeem Saleem |
| collection | DOAJ |
| description | In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab. |
| format | Article |
| id | doaj-art-04523e5a19644248b86dad74517380cb |
| 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-04523e5a19644248b86dad74517380cb2025-08-20T03:55:28ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3785584Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic SpaceNaeem Saleem0Maliha Rashid1Fahd Jarad2Amna Kalsoom3Department of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of Mathematics and StatisticsIn this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in hyperbolic space. An iterative process is also used to obtain the convergence results for this mapping. Fixed point is approximated numerically in a nontrivial example by using Matlab.http://dx.doi.org/10.1155/2022/3785584 |
| spellingShingle | Naeem Saleem Maliha Rashid Fahd Jarad Amna Kalsoom Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space Journal of Function Spaces |
| title | Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space |
| title_full | Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space |
| title_fullStr | Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space |
| title_full_unstemmed | Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space |
| title_short | Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space |
| title_sort | convergence of generalized quasi nonexpansive mappings in hyperbolic space |
| url | http://dx.doi.org/10.1155/2022/3785584 |
| work_keys_str_mv | AT naeemsaleem convergenceofgeneralizedquasinonexpansivemappingsinhyperbolicspace AT maliharashid convergenceofgeneralizedquasinonexpansivemappingsinhyperbolicspace AT fahdjarad convergenceofgeneralizedquasinonexpansivemappingsinhyperbolicspace AT amnakalsoom convergenceofgeneralizedquasinonexpansivemappingsinhyperbolicspace |