Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets
We propose a new CQ algorithm which combines the inertial technique and correction terms for solving the split feasibility problem with multiple output sets in Hilbert spaces. Under suitable conditions, we prove the weak convergence. Moreover, we demonstrate the linear convergence when the split fea...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2025-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/ddns/9699634 |
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| _version_ | 1839631156945879040 |
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| author | Yang Liu Yazheng Dang Kang Liu |
| author_facet | Yang Liu Yazheng Dang Kang Liu |
| author_sort | Yang Liu |
| collection | DOAJ |
| description | We propose a new CQ algorithm which combines the inertial technique and correction terms for solving the split feasibility problem with multiple output sets in Hilbert spaces. Under suitable conditions, we prove the weak convergence. Moreover, we demonstrate the linear convergence when the split feasibility problem with multiple output sets satisfies some bounded linear regularity property. Finally, numerical experiments are conducted to demonstrate superiority of our method over related inertial CQ method and classical CQ method for the split feasibility problem with multiple output sets. |
| format | Article |
| id | doaj-art-46e77c74c3d24c9eb43b9e3d092ea705 |
| institution | Matheson Library |
| issn | 1607-887X |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-46e77c74c3d24c9eb43b9e3d092ea7052025-07-12T05:00:01ZengWileyDiscrete Dynamics in Nature and Society1607-887X2025-01-01202510.1155/ddns/9699634Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output SetsYang Liu0Yazheng Dang1Kang Liu2East China University of Political Science and LawUniversity of Shanghai for Science and Technology Business SchoolUniversity of Shanghai for Science and Technology Business SchoolWe propose a new CQ algorithm which combines the inertial technique and correction terms for solving the split feasibility problem with multiple output sets in Hilbert spaces. Under suitable conditions, we prove the weak convergence. Moreover, we demonstrate the linear convergence when the split feasibility problem with multiple output sets satisfies some bounded linear regularity property. Finally, numerical experiments are conducted to demonstrate superiority of our method over related inertial CQ method and classical CQ method for the split feasibility problem with multiple output sets.http://dx.doi.org/10.1155/ddns/9699634 |
| spellingShingle | Yang Liu Yazheng Dang Kang Liu Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets Discrete Dynamics in Nature and Society |
| title | Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets |
| title_full | Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets |
| title_fullStr | Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets |
| title_full_unstemmed | Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets |
| title_short | Inertial CQ Algorithm With Correction Terms for Split Feasibility Problems With Multiple Output Sets |
| title_sort | inertial cq algorithm with correction terms for split feasibility problems with multiple output sets |
| url | http://dx.doi.org/10.1155/ddns/9699634 |
| work_keys_str_mv | AT yangliu inertialcqalgorithmwithcorrectiontermsforsplitfeasibilityproblemswithmultipleoutputsets AT yazhengdang inertialcqalgorithmwithcorrectiontermsforsplitfeasibilityproblemswithmultipleoutputsets AT kangliu inertialcqalgorithmwithcorrectiontermsforsplitfeasibilityproblemswithmultipleoutputsets |