General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications
The objective of this paper is to suggest and construct a general four step semi-implicit iterative scheme involving midpoint rule. We establish and analyse the convergence of the suggested scheme to reckon the fixed point of an almost contraction mapping. Also, we prove the stability of the suggest...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | Applied Mathematics in Science and Engineering |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/27690911.2024.2365687 |
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| author | Doaa Filali Mohammad Akram M. Dilshad Ahmed A. Khidir |
| author_facet | Doaa Filali Mohammad Akram M. Dilshad Ahmed A. Khidir |
| author_sort | Doaa Filali |
| collection | DOAJ |
| description | The objective of this paper is to suggest and construct a general four step semi-implicit iterative scheme involving midpoint rule. We establish and analyse the convergence of the suggested scheme to reckon the fixed point of an almost contraction mapping. Also, we prove the stability of the suggested iterative scheme. Finally, suggested method and our main results are applied to examine a general variational inequality and a nonlinear integral equation. |
| format | Article |
| id | doaj-art-b03e96fce91a4dbf9ccd4cf5fa8e2b25 |
| institution | OA Journals |
| issn | 2769-0911 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Applied Mathematics in Science and Engineering |
| spelling | doaj-art-b03e96fce91a4dbf9ccd4cf5fa8e2b252025-08-20T02:31:05ZengTaylor & Francis GroupApplied Mathematics in Science and Engineering2769-09112024-12-0132110.1080/27690911.2024.2365687General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applicationsDoaa Filali0Mohammad Akram1M. Dilshad2Ahmed A. Khidir3Department of Mathematical Science, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 84428, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaThe objective of this paper is to suggest and construct a general four step semi-implicit iterative scheme involving midpoint rule. We establish and analyse the convergence of the suggested scheme to reckon the fixed point of an almost contraction mapping. Also, we prove the stability of the suggested iterative scheme. Finally, suggested method and our main results are applied to examine a general variational inequality and a nonlinear integral equation.https://www.tandfonline.com/doi/10.1080/27690911.2024.2365687Convergence and stabilitygeneral semi-implicit midpoint iterationfixed pointalmost contraction mappinggeneral variational inequalityintegral equation |
| spellingShingle | Doaa Filali Mohammad Akram M. Dilshad Ahmed A. Khidir General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications Applied Mathematics in Science and Engineering Convergence and stability general semi-implicit midpoint iteration fixed point almost contraction mapping general variational inequality integral equation |
| title | General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications |
| title_full | General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications |
| title_fullStr | General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications |
| title_full_unstemmed | General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications |
| title_short | General semi-implicit midpoint approximation for fixed point of almost contraction mapping and applications |
| title_sort | general semi implicit midpoint approximation for fixed point of almost contraction mapping and applications |
| topic | Convergence and stability general semi-implicit midpoint iteration fixed point almost contraction mapping general variational inequality integral equation |
| url | https://www.tandfonline.com/doi/10.1080/27690911.2024.2365687 |
| work_keys_str_mv | AT doaafilali generalsemiimplicitmidpointapproximationforfixedpointofalmostcontractionmappingandapplications AT mohammadakram generalsemiimplicitmidpointapproximationforfixedpointofalmostcontractionmappingandapplications AT mdilshad generalsemiimplicitmidpointapproximationforfixedpointofalmostcontractionmappingandapplications AT ahmedakhidir generalsemiimplicitmidpointapproximationforfixedpointofalmostcontractionmappingandapplications |