Iterative Algorithm for Mappings Satisfying Bγ,μ Condition
In this article, we introduce a novel iterative algorithm to approximate fixed point of mappings with Bγ,μ condition. We establish some strong and weak convergence results in a uniformly convex Banach space. Using a numerical example, we compare the speed of the proposed algorithm with some leading...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3492549 |
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| _version_ | 1850211890200838144 |
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| author | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad |
| author_facet | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad |
| author_sort | Thabet Abdeljawad |
| collection | DOAJ |
| description | In this article, we introduce a novel iterative algorithm to approximate fixed point of mappings with Bγ,μ condition. We establish some strong and weak convergence results in a uniformly convex Banach space. Using a numerical example, we compare the speed of the proposed algorithm with some leading iterative algorithms. |
| format | Article |
| id | doaj-art-8af04ed696ee4cd1b8ce91f270c980ba |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8af04ed696ee4cd1b8ce91f270c980ba2025-08-20T02:09:28ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/34925493492549Iterative Algorithm for Mappings Satisfying Bγ,μ ConditionThabet Abdeljawad0Kifayat Ullah1Junaid Ahmad2Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi ArabiaDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanIn this article, we introduce a novel iterative algorithm to approximate fixed point of mappings with Bγ,μ condition. We establish some strong and weak convergence results in a uniformly convex Banach space. Using a numerical example, we compare the speed of the proposed algorithm with some leading iterative algorithms.http://dx.doi.org/10.1155/2020/3492549 |
| spellingShingle | Thabet Abdeljawad Kifayat Ullah Junaid Ahmad Iterative Algorithm for Mappings Satisfying Bγ,μ Condition Journal of Function Spaces |
| title | Iterative Algorithm for Mappings Satisfying Bγ,μ Condition |
| title_full | Iterative Algorithm for Mappings Satisfying Bγ,μ Condition |
| title_fullStr | Iterative Algorithm for Mappings Satisfying Bγ,μ Condition |
| title_full_unstemmed | Iterative Algorithm for Mappings Satisfying Bγ,μ Condition |
| title_short | Iterative Algorithm for Mappings Satisfying Bγ,μ Condition |
| title_sort | iterative algorithm for mappings satisfying bγ μ condition |
| url | http://dx.doi.org/10.1155/2020/3492549 |
| work_keys_str_mv | AT thabetabdeljawad iterativealgorithmformappingssatisfyingbgmcondition AT kifayatullah iterativealgorithmformappingssatisfyingbgmcondition AT junaidahmad iterativealgorithmformappingssatisfyingbgmcondition |