Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces
We connect the F iteration process with the class of generalized α-nonexpansive mappings. Under some appropriate assumption, we establish some weak and strong convergence theorems in Banach spaces. To show the numerical efficiency of our established results, we provide a new example of generalized α...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6994660 |
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| _version_ | 1850236562239913984 |
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| author | Junaid Ahmad Kifayat Ullah Muhammad Arshad Manuel de la Sen |
| author_facet | Junaid Ahmad Kifayat Ullah Muhammad Arshad Manuel de la Sen |
| author_sort | Junaid Ahmad |
| collection | DOAJ |
| description | We connect the F iteration process with the class of generalized α-nonexpansive mappings. Under some appropriate assumption, we establish some weak and strong convergence theorems in Banach spaces. To show the numerical efficiency of our established results, we provide a new example of generalized α-nonexpansive mappings and show that its F iteration process is more efficient than many other iterative schemes. Our results are new and extend the corresponding known results of the current literature. |
| format | Article |
| id | doaj-art-1156c7a678cc42eba67bd52f8b0c5eec |
| 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-1156c7a678cc42eba67bd52f8b0c5eec2025-08-20T02:01:56ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/69946606994660Iterative Approximation of Fixed Points by Using F Iteration Process in Banach SpacesJunaid Ahmad0Kifayat Ullah1Muhammad Arshad2Manuel de la Sen3Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics, University of Lakki Marwat, Lakki Marwat, 28420 Khyber Pakhtunkhwa, PakistanDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanInstitute of Research and Development of Processes, University of the Basque Country, Campus of Leioa (Bizkaia), P.O. Box 644 Bilbao, Barrio Sarriena, 48940 Leioa, SpainWe connect the F iteration process with the class of generalized α-nonexpansive mappings. Under some appropriate assumption, we establish some weak and strong convergence theorems in Banach spaces. To show the numerical efficiency of our established results, we provide a new example of generalized α-nonexpansive mappings and show that its F iteration process is more efficient than many other iterative schemes. Our results are new and extend the corresponding known results of the current literature.http://dx.doi.org/10.1155/2021/6994660 |
| spellingShingle | Junaid Ahmad Kifayat Ullah Muhammad Arshad Manuel de la Sen Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces Journal of Function Spaces |
| title | Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces |
| title_full | Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces |
| title_fullStr | Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces |
| title_full_unstemmed | Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces |
| title_short | Iterative Approximation of Fixed Points by Using F Iteration Process in Banach Spaces |
| title_sort | iterative approximation of fixed points by using f iteration process in banach spaces |
| url | http://dx.doi.org/10.1155/2021/6994660 |
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