An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets
The paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto the closed convex sets, and it does not require...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6252984 |
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| _version_ | 1832559880684175360 |
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| author | Huijuan Jia Shufen Liu Yazheng Dang |
| author_facet | Huijuan Jia Shufen Liu Yazheng Dang |
| author_sort | Huijuan Jia |
| collection | DOAJ |
| description | The paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto the closed convex sets, and it does not require calculating matrix inverse. To accelerate the convergence, the algorithm adopts self-adaptive rules and incorporates inertial technique. The strong convergence is shown under some suitable conditions. In addition, some newly derived results are presented for solving the split feasibility problem and split feasibility problem with multiple output sets. Finally, numerical experiments illustrate that the algorithm converges more quickly than some existing algorithms. Our results extend and improve some methods in the literature. |
| format | Article |
| id | doaj-art-115e672229be40b891a60191d9d02a2c |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-115e672229be40b891a60191d9d02a2c2025-02-03T01:28:54ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/6252984An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output SetsHuijuan Jia0Shufen Liu1Yazheng Dang2College of Computer Science and TechnologyCollege of Computer Science and TechnologyDepartment of ManagementThe paper proposes an inertial accelerated algorithm for solving split feasibility problem with multiple output sets. To improve the feasibility, the algorithm involves computing of projections onto relaxed sets (half spaces) instead of computing onto the closed convex sets, and it does not require calculating matrix inverse. To accelerate the convergence, the algorithm adopts self-adaptive rules and incorporates inertial technique. The strong convergence is shown under some suitable conditions. In addition, some newly derived results are presented for solving the split feasibility problem and split feasibility problem with multiple output sets. Finally, numerical experiments illustrate that the algorithm converges more quickly than some existing algorithms. Our results extend and improve some methods in the literature.http://dx.doi.org/10.1155/2021/6252984 |
| spellingShingle | Huijuan Jia Shufen Liu Yazheng Dang An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets Journal of Mathematics |
| title | An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets |
| title_full | An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets |
| title_fullStr | An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets |
| title_full_unstemmed | An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets |
| title_short | An Inertial Accelerated Algorithm for Solving Split Feasibility Problem with Multiple Output Sets |
| title_sort | inertial accelerated algorithm for solving split feasibility problem with multiple output sets |
| url | http://dx.doi.org/10.1155/2021/6252984 |
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