Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces
Fixed points of monotone α-nonexpansive and generalized β-nonexpansive mappings have been approximated in Banach space. Our purpose is to approximate the fixed points for the above mappings in hyperbolic space. We prove the existence and convergence results using some iteration processes.
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/3243020 |
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| _version_ | 1850163523732111360 |
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| author | Amna Kalsoom Naeem Saleem Hüseyin Işık Tareq M. Al-Shami Amna Bibi Hafsa Khan |
| author_facet | Amna Kalsoom Naeem Saleem Hüseyin Işık Tareq M. Al-Shami Amna Bibi Hafsa Khan |
| author_sort | Amna Kalsoom |
| collection | DOAJ |
| description | Fixed points of monotone α-nonexpansive and generalized β-nonexpansive mappings have been approximated in Banach space. Our purpose is to approximate the fixed points for the above mappings in hyperbolic space. We prove the existence and convergence results using some iteration processes. |
| format | Article |
| id | doaj-art-e7ca563e7a3e4e9ea147f33a654678d3 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e7ca563e7a3e4e9ea147f33a654678d32025-08-20T02:22:15ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/32430203243020Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic SpacesAmna Kalsoom0Naeem Saleem1Hüseyin Işık2Tareq M. Al-Shami3Amna Bibi4Hafsa Khan5Department of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics, University of Management and Technology, Lahore, PakistanDepartment of Engineering Science, Bandırma Onyedi Eylül University, Bandırma 10200, Balıkesir, TurkeyDepartment of Mathematics, Sana’a University, Sana’a, YemenDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanFixed points of monotone α-nonexpansive and generalized β-nonexpansive mappings have been approximated in Banach space. Our purpose is to approximate the fixed points for the above mappings in hyperbolic space. We prove the existence and convergence results using some iteration processes.http://dx.doi.org/10.1155/2021/3243020 |
| spellingShingle | Amna Kalsoom Naeem Saleem Hüseyin Işık Tareq M. Al-Shami Amna Bibi Hafsa Khan Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces Journal of Function Spaces |
| title | Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces |
| title_full | Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces |
| title_fullStr | Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces |
| title_full_unstemmed | Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces |
| title_short | Fixed Point Approximation of Monotone Nonexpansive Mappings in Hyperbolic Spaces |
| title_sort | fixed point approximation of monotone nonexpansive mappings in hyperbolic spaces |
| url | http://dx.doi.org/10.1155/2021/3243020 |
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