Strong Convergence of a Monotone Projection Algorithm in a Banach Space
In this paper, a common solution problem is investigated based on a Bregman projection. Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/764909 |
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| _version_ | 1832566791940866048 |
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| author | Songtao Lv |
| author_facet | Songtao Lv |
| author_sort | Songtao Lv |
| collection | DOAJ |
| description | In this paper, a common solution problem is investigated based on a Bregman projection. Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space. |
| format | Article |
| id | doaj-art-eba18e04d9ed453da0001932240a1e3a |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-eba18e04d9ed453da0001932240a1e3a2025-02-03T01:03:15ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/764909764909Strong Convergence of a Monotone Projection Algorithm in a Banach SpaceSongtao Lv0School of Mathematics and Information Science, Shangqiu Normal University, Shangqiu 476000, ChinaIn this paper, a common solution problem is investigated based on a Bregman projection. Strong convergence of the monotone projection algorithm for monotone operators and bifunctions is obtained in a reflexive Banach space.http://dx.doi.org/10.1155/2013/764909 |
| spellingShingle | Songtao Lv Strong Convergence of a Monotone Projection Algorithm in a Banach Space The Scientific World Journal |
| title | Strong Convergence of a Monotone Projection Algorithm in a Banach Space |
| title_full | Strong Convergence of a Monotone Projection Algorithm in a Banach Space |
| title_fullStr | Strong Convergence of a Monotone Projection Algorithm in a Banach Space |
| title_full_unstemmed | Strong Convergence of a Monotone Projection Algorithm in a Banach Space |
| title_short | Strong Convergence of a Monotone Projection Algorithm in a Banach Space |
| title_sort | strong convergence of a monotone projection algorithm in a banach space |
| url | http://dx.doi.org/10.1155/2013/764909 |
| work_keys_str_mv | AT songtaolv strongconvergenceofamonotoneprojectionalgorithminabanachspace |