Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms
Abstract In this paper, we study the alternating CQ algorithm for solving the split equality problem in Hilbert spaces. It is, however, not easy to implement since its selection of the stepsize requires prior information on the norms of bounded linear operators. To avoid this difficulty, we propose...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02480-z |
| _version_ | 1818449265666555904 |
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| author | Hai Yu Fenghui Wang |
| author_facet | Hai Yu Fenghui Wang |
| author_sort | Hai Yu |
| collection | DOAJ |
| description | Abstract In this paper, we study the alternating CQ algorithm for solving the split equality problem in Hilbert spaces. It is, however, not easy to implement since its selection of the stepsize requires prior information on the norms of bounded linear operators. To avoid this difficulty, we propose several modified algorithms in which the selection of the stepsize is independent of the norms. In particular, we consider the case whenever the convex sets involved are level sets of given convex functions. |
| first_indexed | 2024-12-14T20:32:40Z |
| format | Article |
| id | doaj.art-c936eabd82ff482f923559d107708d22 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-14T20:32:40Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c936eabd82ff482f923559d107708d222022-12-21T22:48:30ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-08-012020111410.1186/s13660-020-02480-zAlternating iterative algorithms for the split equality problem without prior knowledge of operator normsHai Yu0Fenghui Wang1Department of Mathematics, Luoyang Normal UniversityDepartment of Mathematics, Luoyang Normal UniversityAbstract In this paper, we study the alternating CQ algorithm for solving the split equality problem in Hilbert spaces. It is, however, not easy to implement since its selection of the stepsize requires prior information on the norms of bounded linear operators. To avoid this difficulty, we propose several modified algorithms in which the selection of the stepsize is independent of the norms. In particular, we consider the case whenever the convex sets involved are level sets of given convex functions.http://link.springer.com/article/10.1186/s13660-020-02480-zSplit equality problemAlternating CQ algorithmVariable stepsize |
| spellingShingle | Hai Yu Fenghui Wang Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms Journal of Inequalities and Applications Split equality problem Alternating CQ algorithm Variable stepsize |
| title | Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms |
| title_full | Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms |
| title_fullStr | Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms |
| title_full_unstemmed | Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms |
| title_short | Alternating iterative algorithms for the split equality problem without prior knowledge of operator norms |
| title_sort | alternating iterative algorithms for the split equality problem without prior knowledge of operator norms |
| topic | Split equality problem Alternating CQ algorithm Variable stepsize |
| url | http://link.springer.com/article/10.1186/s13660-020-02480-z |
| work_keys_str_mv | AT haiyu alternatingiterativealgorithmsforthesplitequalityproblemwithoutpriorknowledgeofoperatornorms AT fenghuiwang alternatingiterativealgorithmsforthesplitequalityproblemwithoutpriorknowledgeofoperatornorms |