Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications
Abstract In this article, two-step inertial method is proposed for finding zero point of the sum of two monotone operators and fixed-point of κ-strictly pseudo-nonspreading mapping in a real Hilbert space. Weak convergence of the sequence of the proposed method is obtained under less restrictive con...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Fixed Point Theory and Algorithms for Sciences and Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13663-025-00781-w |
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| _version_ | 1850172861054976000 |
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| author | Francis O. Nwawuru Ojen K. Narain Mohammad Dilshad Jeremiah N. Ezeora |
| author_facet | Francis O. Nwawuru Ojen K. Narain Mohammad Dilshad Jeremiah N. Ezeora |
| author_sort | Francis O. Nwawuru |
| collection | DOAJ |
| description | Abstract In this article, two-step inertial method is proposed for finding zero point of the sum of two monotone operators and fixed-point of κ-strictly pseudo-nonspreading mapping in a real Hilbert space. Weak convergence of the sequence of the proposed method is obtained under less restrictive conditions. With suitable numerical examples, the method is shown to be robust in terms of speed of convergence. It is also shown to be an improvement over one-step inertial method, which has been used by many authors in the literature to solve similar problems. |
| format | Article |
| id | doaj-art-de323a0e47fc4137b134b127fe24ca2a |
| institution | OA Journals |
| issn | 2730-5422 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Algorithms for Sciences and Engineering |
| spelling | doaj-art-de323a0e47fc4137b134b127fe24ca2a2025-08-20T02:19:58ZengSpringerOpenFixed Point Theory and Algorithms for Sciences and Engineering2730-54222025-04-012025112810.1186/s13663-025-00781-wSplitting method involving two-step inertial for solving inclusion and fixed point problems with applicationsFrancis O. Nwawuru0Ojen K. Narain1Mohammad Dilshad2Jeremiah N. Ezeora3Analysis, Control System and Optimization Research Group, Department of Mathematics, Chukwuemeka Odumegwu Ojukwu UniverisytSchool of Mathematics, Statistics and Computer Science, University of KwaZulu-NatalDepartment of Mathematics, Faculty of Science, University of TabukDepartment of Mathematics and Statistics, University of Port HarcourtAbstract In this article, two-step inertial method is proposed for finding zero point of the sum of two monotone operators and fixed-point of κ-strictly pseudo-nonspreading mapping in a real Hilbert space. Weak convergence of the sequence of the proposed method is obtained under less restrictive conditions. With suitable numerical examples, the method is shown to be robust in terms of speed of convergence. It is also shown to be an improvement over one-step inertial method, which has been used by many authors in the literature to solve similar problems.https://doi.org/10.1186/s13663-025-00781-wMonotone inclusion problemHilbert spacesTwo step inertialFixed pointLipschitz continuous |
| spellingShingle | Francis O. Nwawuru Ojen K. Narain Mohammad Dilshad Jeremiah N. Ezeora Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications Fixed Point Theory and Algorithms for Sciences and Engineering Monotone inclusion problem Hilbert spaces Two step inertial Fixed point Lipschitz continuous |
| title | Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications |
| title_full | Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications |
| title_fullStr | Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications |
| title_full_unstemmed | Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications |
| title_short | Splitting method involving two-step inertial for solving inclusion and fixed point problems with applications |
| title_sort | splitting method involving two step inertial for solving inclusion and fixed point problems with applications |
| topic | Monotone inclusion problem Hilbert spaces Two step inertial Fixed point Lipschitz continuous |
| url | https://doi.org/10.1186/s13663-025-00781-w |
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