An inertial extrapolation method for multiple-set split feasibility problem
Abstract In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we have developed a self-adaptive technique to choose the stepsizes such that the im...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-11-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02508-4 |
| _version_ | 1828779082545889280 |
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| author | Guash Haile Taddele Poom Kumam Anteneh Getachew Gebrie |
| author_facet | Guash Haile Taddele Poom Kumam Anteneh Getachew Gebrie |
| author_sort | Guash Haile Taddele |
| collection | DOAJ |
| description | Abstract In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we have developed a self-adaptive technique to choose the stepsizes such that the implementation of our algorithm does not need any prior information about the operator norm. We then prove the strong convergence of a sequence generated by our algorithm. We also present numerical examples to illustrate that the acceleration of our algorithm is effective. |
| first_indexed | 2024-12-11T16:55:00Z |
| format | Article |
| id | doaj.art-d26eb4bed43543ef8c56e5eaf9ccc6eb |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T16:55:00Z |
| publishDate | 2020-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-d26eb4bed43543ef8c56e5eaf9ccc6eb2022-12-22T00:57:59ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-11-012020112210.1186/s13660-020-02508-4An inertial extrapolation method for multiple-set split feasibility problemGuash Haile Taddele0Poom Kumam1Anteneh Getachew Gebrie2KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)KMUTT Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Department of Mathematics, College of Computational and Natural Science, Debre Berhan UniversityAbstract In this paper, we propose an iterative algorithm with inertial extrapolation to approximate the solution of multiple-set split feasibility problem. Based on Lopez et al. (Inverse Probl. 28(8):085004, 2012), we have developed a self-adaptive technique to choose the stepsizes such that the implementation of our algorithm does not need any prior information about the operator norm. We then prove the strong convergence of a sequence generated by our algorithm. We also present numerical examples to illustrate that the acceleration of our algorithm is effective.http://link.springer.com/article/10.1186/s13660-020-02508-4Multiple-set split feasibility problemSublevel setSubdifferentialInertial extrapolationSelf-adaptive technique |
| spellingShingle | Guash Haile Taddele Poom Kumam Anteneh Getachew Gebrie An inertial extrapolation method for multiple-set split feasibility problem Journal of Inequalities and Applications Multiple-set split feasibility problem Sublevel set Subdifferential Inertial extrapolation Self-adaptive technique |
| title | An inertial extrapolation method for multiple-set split feasibility problem |
| title_full | An inertial extrapolation method for multiple-set split feasibility problem |
| title_fullStr | An inertial extrapolation method for multiple-set split feasibility problem |
| title_full_unstemmed | An inertial extrapolation method for multiple-set split feasibility problem |
| title_short | An inertial extrapolation method for multiple-set split feasibility problem |
| title_sort | inertial extrapolation method for multiple set split feasibility problem |
| topic | Multiple-set split feasibility problem Sublevel set Subdifferential Inertial extrapolation Self-adaptive technique |
| url | http://link.springer.com/article/10.1186/s13660-020-02508-4 |
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