Double projection algorithms for solving the split feasibility problems
We propose two new double projection algorithms for solving the split feasibility problem (SFP). Different from the extragradient projection algorithms, the proposed algorithms do not require fixed stepsize and do not employ the same projection region at different projection steps. We adopt flexible...
| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | English |
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AMER INST MATHEMATICAL SCIENCES-AIMS
2019
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| Subjects: | |
| Online Access: | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90788 |
| _version_ | 1848765428394885120 |
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| author | Dang, Y.Z. Sun, Jie Zhang, Su |
| author_facet | Dang, Y.Z. Sun, Jie Zhang, Su |
| author_sort | Dang, Y.Z. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We propose two new double projection algorithms for solving the split feasibility problem (SFP). Different from the extragradient projection algorithms, the proposed algorithms do not require fixed stepsize and do not employ the same projection region at different projection steps. We adopt flexible rules for selecting the stepsize and the projection region. The proposed algorithms are shown to be convergent under certain assumptions. Numerical experiments show that the proposed methods appear to be more efficient than the relaxed- CQ algorithm. |
| first_indexed | 2025-11-14T11:35:06Z |
| format | Journal Article |
| id | curtin-20.500.11937-90788 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:35:06Z |
| publishDate | 2019 |
| publisher | AMER INST MATHEMATICAL SCIENCES-AIMS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-907882023-04-19T07:46:15Z Double projection algorithms for solving the split feasibility problems Dang, Y.Z. Sun, Jie Zhang, Su Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Operations Research & Management Science Mathematics, Interdisciplinary Applications Engineering Mathematics Armijo-type line search convergence analysis double projection algorithm optimization split feasibility problem EXTRAGRADIENT METHOD CQ ALGORITHM SETS We propose two new double projection algorithms for solving the split feasibility problem (SFP). Different from the extragradient projection algorithms, the proposed algorithms do not require fixed stepsize and do not employ the same projection region at different projection steps. We adopt flexible rules for selecting the stepsize and the projection region. The proposed algorithms are shown to be convergent under certain assumptions. Numerical experiments show that the proposed methods appear to be more efficient than the relaxed- CQ algorithm. 2019 Journal Article http://hdl.handle.net/20.500.11937/90788 10.3934/jimo.2018135 English http://purl.org/au-research/grants/arc/DP160102819 http://creativecommons.org/licenses/by/4.0/ AMER INST MATHEMATICAL SCIENCES-AIMS fulltext |
| spellingShingle | Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Operations Research & Management Science Mathematics, Interdisciplinary Applications Engineering Mathematics Armijo-type line search convergence analysis double projection algorithm optimization split feasibility problem EXTRAGRADIENT METHOD CQ ALGORITHM SETS Dang, Y.Z. Sun, Jie Zhang, Su Double projection algorithms for solving the split feasibility problems |
| title | Double projection algorithms for solving the split feasibility problems |
| title_full | Double projection algorithms for solving the split feasibility problems |
| title_fullStr | Double projection algorithms for solving the split feasibility problems |
| title_full_unstemmed | Double projection algorithms for solving the split feasibility problems |
| title_short | Double projection algorithms for solving the split feasibility problems |
| title_sort | double projection algorithms for solving the split feasibility problems |
| topic | Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Operations Research & Management Science Mathematics, Interdisciplinary Applications Engineering Mathematics Armijo-type line search convergence analysis double projection algorithm optimization split feasibility problem EXTRAGRADIENT METHOD CQ ALGORITHM SETS |
| url | http://purl.org/au-research/grants/arc/DP160102819 http://hdl.handle.net/20.500.11937/90788 |