An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces
In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two weak convergence theorems of the proposed algorithm. Moreover, the stepsize in our algo...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6661682 |
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| _version_ | 1832550572651184128 |
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| author | Haixia Zhang Huanhuan Cui |
| author_facet | Haixia Zhang Huanhuan Cui |
| author_sort | Haixia Zhang |
| collection | DOAJ |
| description | In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two weak convergence theorems of the proposed algorithm. Moreover, the stepsize in our algorithm is independent of the norm of the given linear mapping, which can further improve the performance of the algorithm. |
| format | Article |
| id | doaj-art-8f110a1cefc2404680e30b6299c28560 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8f110a1cefc2404680e30b6299c285602025-02-03T06:06:28ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66616826661682An Inertial Method for Split Common Fixed Point Problems in Hilbert SpacesHaixia Zhang0Huanhuan Cui1Department of Mathematics, Henan Normal University, Xinxiang 453007, ChinaDepartment of Mathematics, Luoyang Normal University, Luoyang 471934, ChinaIn this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two weak convergence theorems of the proposed algorithm. Moreover, the stepsize in our algorithm is independent of the norm of the given linear mapping, which can further improve the performance of the algorithm.http://dx.doi.org/10.1155/2021/6661682 |
| spellingShingle | Haixia Zhang Huanhuan Cui An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces Journal of Mathematics |
| title | An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces |
| title_full | An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces |
| title_fullStr | An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces |
| title_full_unstemmed | An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces |
| title_short | An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces |
| title_sort | inertial method for split common fixed point problems in hilbert spaces |
| url | http://dx.doi.org/10.1155/2021/6661682 |
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