Local solvability of a constrainedgradient system of total variation
Suppose X is a real q-uniformly smooth Banach space and F,K:X→X with D(K)=F(X)=X are accretive maps. Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503209052 |
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| _version_ | 1832549078721888256 |
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| author | C. E. Chidume H. Zegeye |
| author_facet | C. E. Chidume H. Zegeye |
| author_sort | C. E. Chidume |
| collection | DOAJ |
| description | Suppose X is a real q-uniformly smooth Banach space and F,K:X→X with D(K)=F(X)=X are accretive maps. Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to
such a solution are constructed. No invertibility assumption is
imposed on K and the operators K and F need not be defined on compact subsets of X. Our method of proof is of independent interest. |
| format | Article |
| id | doaj-art-1bd4b6999fdc44d3870c8c4da5b56600 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1bd4b6999fdc44d3870c8c4da5b566002025-02-03T06:12:14ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-012003635336510.1155/S1085337503209052Local solvability of a constrainedgradient system of total variationC. E. Chidume0H. Zegeye1The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste 34100, ItalyThe Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste 34100, ItalySuppose X is a real q-uniformly smooth Banach space and F,K:X→X with D(K)=F(X)=X are accretive maps. Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to such a solution are constructed. No invertibility assumption is imposed on K and the operators K and F need not be defined on compact subsets of X. Our method of proof is of independent interest.http://dx.doi.org/10.1155/S1085337503209052 |
| spellingShingle | C. E. Chidume H. Zegeye Local solvability of a constrainedgradient system of total variation Abstract and Applied Analysis |
| title | Local solvability of a constrainedgradient system of total variation |
| title_full | Local solvability of a constrainedgradient system of total variation |
| title_fullStr | Local solvability of a constrainedgradient system of total variation |
| title_full_unstemmed | Local solvability of a constrainedgradient system of total variation |
| title_short | Local solvability of a constrainedgradient system of total variation |
| title_sort | local solvability of a constrainedgradient system of total variation |
| url | http://dx.doi.org/10.1155/S1085337503209052 |
| work_keys_str_mv | AT cechidume localsolvabilityofaconstrainedgradientsystemoftotalvariation AT hzegeye localsolvabilityofaconstrainedgradientsystemoftotalvariation |