An inertial triple-projection algorithm for solving the split feasibility problem
This paper proposes a new inertial triple-projection algorithm for solving the split feasibility problem. The process of projections is divided into three parts. Each part adopts a different variable stepsize to obtain its projection point, which is different from the existing extragradient methods....
| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
AMER INST MATHEMATICAL SCIENCES-AIMS
2023
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/91421 |
| _version_ | 1848765515956224000 |
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| author | Dang, Y. Ang, M. Sun, Jie |
| author_facet | Dang, Y. Ang, M. Sun, Jie |
| author_sort | Dang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper proposes a new inertial triple-projection algorithm for solving the split feasibility problem. The process of projections is divided into three parts. Each part adopts a different variable stepsize to obtain its projection point, which is different from the existing extragradient methods. Flexible rules are employed for selecting the stepsizes and the inertial technique is used for improving the convergence. Convergence results are proven. Numerical experiments show that the proposed method converges more quickly than the general CQ algorithm. |
| first_indexed | 2025-11-14T11:36:29Z |
| format | Journal Article |
| id | curtin-20.500.11937-91421 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:36:29Z |
| publishDate | 2023 |
| publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-914212023-05-03T08:03:42Z An inertial triple-projection algorithm for solving the split feasibility problem Dang, Y. Ang, M. Sun, Jie Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Operations Research & Management Science Mathematics, Interdisciplinary Applications Engineering Mathematics Split feasibility problem triple-projection algorithm Armijo-type line search inertial technique convergence analysis CQ ALGORITHM SETS This paper proposes a new inertial triple-projection algorithm for solving the split feasibility problem. The process of projections is divided into three parts. Each part adopts a different variable stepsize to obtain its projection point, which is different from the existing extragradient methods. Flexible rules are employed for selecting the stepsizes and the inertial technique is used for improving the convergence. Convergence results are proven. Numerical experiments show that the proposed method converges more quickly than the general CQ algorithm. 2023 Journal Article http://hdl.handle.net/20.500.11937/91421 10.3934/jimo.2022019 English AMER INST MATHEMATICAL SCIENCES-AIMS fulltext |
| spellingShingle | Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Operations Research & Management Science Mathematics, Interdisciplinary Applications Engineering Mathematics Split feasibility problem triple-projection algorithm Armijo-type line search inertial technique convergence analysis CQ ALGORITHM SETS Dang, Y. Ang, M. Sun, Jie An inertial triple-projection algorithm for solving the split feasibility problem |
| title | An inertial triple-projection algorithm for solving the split feasibility problem |
| title_full | An inertial triple-projection algorithm for solving the split feasibility problem |
| title_fullStr | An inertial triple-projection algorithm for solving the split feasibility problem |
| title_full_unstemmed | An inertial triple-projection algorithm for solving the split feasibility problem |
| title_short | An inertial triple-projection algorithm for solving the split feasibility problem |
| title_sort | inertial triple-projection algorithm for solving the split feasibility problem |
| topic | Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Operations Research & Management Science Mathematics, Interdisciplinary Applications Engineering Mathematics Split feasibility problem triple-projection algorithm Armijo-type line search inertial technique convergence analysis CQ ALGORITHM SETS |
| url | http://hdl.handle.net/20.500.11937/91421 |