Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces
We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this importan...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/232170 |
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| _version_ | 1832546000622845952 |
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| author | H. Zegeye N. Shahzad |
| author_facet | H. Zegeye N. Shahzad |
| author_sort | H. Zegeye |
| collection | DOAJ |
| description | We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings. |
| format | Article |
| id | doaj-art-89d3591a19334cb4920c848740158084 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-89d3591a19334cb4920c8487401580842025-02-03T07:24:07ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/232170232170Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach SpacesH. Zegeye0N. Shahzad1Departement of Mathematics, University of Botswana, Private Bag 00704, Gaborone, BotswanaDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.http://dx.doi.org/10.1155/2013/232170 |
| spellingShingle | H. Zegeye N. Shahzad Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces Abstract and Applied Analysis |
| title | Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces |
| title_full | Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces |
| title_fullStr | Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces |
| title_full_unstemmed | Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces |
| title_short | Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces |
| title_sort | proximal point algorithms for finding a zero of a finite sum of monotone mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2013/232170 |
| work_keys_str_mv | AT hzegeye proximalpointalgorithmsforfindingazeroofafinitesumofmonotonemappingsinbanachspaces AT nshahzad proximalpointalgorithmsforfindingazeroofafinitesumofmonotonemappingsinbanachspaces |