A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces
The role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterati...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/5583824 |
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| _version_ | 1832559684542791680 |
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| author | Asifa Tassaddiq Wakeel Ahmed Shahid Zaman Asma Raza Usman Islam Kwara Nantomah |
| author_facet | Asifa Tassaddiq Wakeel Ahmed Shahid Zaman Asma Raza Usman Islam Kwara Nantomah |
| author_sort | Asifa Tassaddiq |
| collection | DOAJ |
| description | The role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterative algorithm to solve the fixed point problem in the Hadamard spaces using a total asymptotic nonexpansive mapping. MATLAB R2018b is used for numerical experiments to ensure a better convergence rate of the proposed iterative algorithm with existing results. |
| format | Article |
| id | doaj-art-3ddaa2b152cf461db927e65ef06a6070 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3ddaa2b152cf461db927e65ef06a60702025-02-03T01:29:27ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/5583824A Modified Iterative Approach for Fixed Point Problem in Hadamard SpacesAsifa Tassaddiq0Wakeel Ahmed1Shahid Zaman2Asma Raza3Usman Islam4Kwara Nantomah5Department of Basic Sciences and HumanitiesDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterative algorithm to solve the fixed point problem in the Hadamard spaces using a total asymptotic nonexpansive mapping. MATLAB R2018b is used for numerical experiments to ensure a better convergence rate of the proposed iterative algorithm with existing results.http://dx.doi.org/10.1155/2024/5583824 |
| spellingShingle | Asifa Tassaddiq Wakeel Ahmed Shahid Zaman Asma Raza Usman Islam Kwara Nantomah A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces Journal of Function Spaces |
| title | A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces |
| title_full | A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces |
| title_fullStr | A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces |
| title_full_unstemmed | A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces |
| title_short | A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces |
| title_sort | modified iterative approach for fixed point problem in hadamard spaces |
| url | http://dx.doi.org/10.1155/2024/5583824 |
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