A Proximal Point Method Involving Two Resolvent Operators
We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. The algorithm introduced in this paper puts together several proximal point algorithms under one frame work. Therefore, the results...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/892980 |
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| _version_ | 1832552305413586944 |
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| author | Oganeditse A. Boikanyo |
| author_facet | Oganeditse A. Boikanyo |
| author_sort | Oganeditse A. Boikanyo |
| collection | DOAJ |
| description | We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. The algorithm introduced in this paper puts together several proximal point algorithms under one frame work. Therefore, the results presented here generalize and improve many results related to the proximal point algorithm which were announced recently in the literature. |
| format | Article |
| id | doaj-art-8ff47ff908904b8190896982171bdac1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8ff47ff908904b8190896982171bdac12025-02-03T05:59:01ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/892980892980A Proximal Point Method Involving Two Resolvent OperatorsOganeditse A. Boikanyo0Department of Applied Sciences, Botswana International University of Science and Technology, Private Bag 41, Gaborone, BotswanaWe construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. The algorithm introduced in this paper puts together several proximal point algorithms under one frame work. Therefore, the results presented here generalize and improve many results related to the proximal point algorithm which were announced recently in the literature.http://dx.doi.org/10.1155/2012/892980 |
| spellingShingle | Oganeditse A. Boikanyo A Proximal Point Method Involving Two Resolvent Operators Abstract and Applied Analysis |
| title | A Proximal Point Method Involving Two Resolvent Operators |
| title_full | A Proximal Point Method Involving Two Resolvent Operators |
| title_fullStr | A Proximal Point Method Involving Two Resolvent Operators |
| title_full_unstemmed | A Proximal Point Method Involving Two Resolvent Operators |
| title_short | A Proximal Point Method Involving Two Resolvent Operators |
| title_sort | proximal point method involving two resolvent operators |
| url | http://dx.doi.org/10.1155/2012/892980 |
| work_keys_str_mv | AT oganeditseaboikanyo aproximalpointmethodinvolvingtworesolventoperators AT oganeditseaboikanyo proximalpointmethodinvolvingtworesolventoperators |