Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators
A modified Krasnoselski-Mann iterative algorithm is proposed for solving the split common fixed-point problem for quasi-nonexpansive operators. A parameter sequence is introduced to enhance convergence. It is shown that the proposed iterative algorithm strongly converges to a split common fixed-poin...
| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | English |
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YOKOHAMA PUBL
2021
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| Subjects: | |
| Online Access: | http://yokohamapublishers.jp/online2/opjnca/vol22/p969.html http://hdl.handle.net/20.500.11937/91430 |
| _version_ | 1848765518460223488 |
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| author | Dang, Y. Rodrigues, B. Sun, Jie |
| author_facet | Dang, Y. Rodrigues, B. Sun, Jie |
| author_sort | Dang, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A modified Krasnoselski-Mann iterative algorithm is proposed for solving the split common fixed-point problem for quasi-nonexpansive operators. A parameter sequence is introduced to enhance convergence. It is shown that the proposed iterative algorithm strongly converges to a split common fixed-point in Hilbert spaces. This result extends the applicability of the KM algorithm. |
| first_indexed | 2025-11-14T11:36:31Z |
| format | Journal Article |
| id | curtin-20.500.11937-91430 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:36:31Z |
| publishDate | 2021 |
| publisher | YOKOHAMA PUBL |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-914302023-05-03T07:32:31Z Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators Dang, Y. Rodrigues, B. Sun, Jie Science & Technology Physical Sciences Mathematics, Applied Mathematics KM algorithm strong convergence fixed point quasi-nonexpensive operator VISCOSITY APPROXIMATION METHODS SETS WEAK PROJECTION THEOREM A modified Krasnoselski-Mann iterative algorithm is proposed for solving the split common fixed-point problem for quasi-nonexpansive operators. A parameter sequence is introduced to enhance convergence. It is shown that the proposed iterative algorithm strongly converges to a split common fixed-point in Hilbert spaces. This result extends the applicability of the KM algorithm. 2021 Journal Article http://hdl.handle.net/20.500.11937/91430 English http://yokohamapublishers.jp/online2/opjnca/vol22/p969.html YOKOHAMA PUBL fulltext |
| spellingShingle | Science & Technology Physical Sciences Mathematics, Applied Mathematics KM algorithm strong convergence fixed point quasi-nonexpensive operator VISCOSITY APPROXIMATION METHODS SETS WEAK PROJECTION THEOREM Dang, Y. Rodrigues, B. Sun, Jie Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| title | Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| title_full | Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| title_fullStr | Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| title_full_unstemmed | Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| title_short | Strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| title_sort | strong convergence of a km iterative algorithm for computing a split common fixed-point of quasi-nonexpansive operators |
| topic | Science & Technology Physical Sciences Mathematics, Applied Mathematics KM algorithm strong convergence fixed point quasi-nonexpensive operator VISCOSITY APPROXIMATION METHODS SETS WEAK PROJECTION THEOREM |
| url | http://yokohamapublishers.jp/online2/opjnca/vol22/p969.html http://hdl.handle.net/20.500.11937/91430 |