Tseng-Type Algorithms for the Split Variational Inclusion
In this paper, we study iterative methods for solving the split variational inclusion in Hilbert spaces. We consider a Tseng-type algorithm with self-adaptive step sizes for finding a solution of the split variational inclusion. We show the weak convergence of the proposed sequence under some mild a...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4819157 |
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| _version_ | 1849307993565298688 |
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| author | Li-Jun Zhu Tzu-Chien Yin |
| author_facet | Li-Jun Zhu Tzu-Chien Yin |
| author_sort | Li-Jun Zhu |
| collection | DOAJ |
| description | In this paper, we study iterative methods for solving the split variational inclusion in Hilbert spaces. We consider a Tseng-type algorithm with self-adaptive step sizes for finding a solution of the split variational inclusion. We show the weak convergence of the proposed sequence under some mild assumptions. |
| format | Article |
| id | doaj-art-1fb2e0444dab4cf09bee3c596edf7846 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1fb2e0444dab4cf09bee3c596edf78462025-08-20T03:54:34ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4819157Tseng-Type Algorithms for the Split Variational InclusionLi-Jun Zhu0Tzu-Chien Yin1The Key Laboratory of Intelligent Information and Big Data Processing of NingXiaResearch Center for Interneural ComputingIn this paper, we study iterative methods for solving the split variational inclusion in Hilbert spaces. We consider a Tseng-type algorithm with self-adaptive step sizes for finding a solution of the split variational inclusion. We show the weak convergence of the proposed sequence under some mild assumptions.http://dx.doi.org/10.1155/2022/4819157 |
| spellingShingle | Li-Jun Zhu Tzu-Chien Yin Tseng-Type Algorithms for the Split Variational Inclusion Journal of Mathematics |
| title | Tseng-Type Algorithms for the Split Variational Inclusion |
| title_full | Tseng-Type Algorithms for the Split Variational Inclusion |
| title_fullStr | Tseng-Type Algorithms for the Split Variational Inclusion |
| title_full_unstemmed | Tseng-Type Algorithms for the Split Variational Inclusion |
| title_short | Tseng-Type Algorithms for the Split Variational Inclusion |
| title_sort | tseng type algorithms for the split variational inclusion |
| url | http://dx.doi.org/10.1155/2022/4819157 |
| work_keys_str_mv | AT lijunzhu tsengtypealgorithmsforthesplitvariationalinclusion AT tzuchienyin tsengtypealgorithmsforthesplitvariationalinclusion |