Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
We introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving η-accretive mappings in real Banac...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204209395 |
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| author | C. E. Chidume K. R. Kazmi H. Zegeye |
| author_facet | C. E. Chidume K. R. Kazmi H. Zegeye |
| author_sort | C. E. Chidume |
| collection | DOAJ |
| description | We introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving η-accretive mappings in real Banach space, and discuss its convergence criteria. The class of η-accretive mappings includes several important classes of operators that have been studied by various authors. |
| format | Article |
| id | doaj-art-957fb1b7efac4d61bb02240eeb3a0f1b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-957fb1b7efac4d61bb02240eeb3a0f1b2025-08-20T03:37:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004221159116810.1155/S0161171204209395Iterative approximation of a solution of a general variational-like inclusion in Banach spacesC. E. Chidume0K. R. Kazmi1H. Zegeye2The Abdus Salam International Centre for Theoretical Physics, Trieste 34100, ItalyThe Abdus Salam International Centre for Theoretical Physics, Trieste 34100, ItalyThe Abdus Salam International Centre for Theoretical Physics, Trieste 34100, ItalyWe introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving η-accretive mappings in real Banach space, and discuss its convergence criteria. The class of η-accretive mappings includes several important classes of operators that have been studied by various authors.http://dx.doi.org/10.1155/S0161171204209395 |
| spellingShingle | C. E. Chidume K. R. Kazmi H. Zegeye Iterative approximation of a solution of a general variational-like inclusion in Banach spaces International Journal of Mathematics and Mathematical Sciences |
| title | Iterative approximation of a solution of a general variational-like inclusion in Banach spaces |
| title_full | Iterative approximation of a solution of a general variational-like inclusion in Banach spaces |
| title_fullStr | Iterative approximation of a solution of a general variational-like inclusion in Banach spaces |
| title_full_unstemmed | Iterative approximation of a solution of a general variational-like inclusion in Banach spaces |
| title_short | Iterative approximation of a solution of a general variational-like inclusion in Banach spaces |
| title_sort | iterative approximation of a solution of a general variational like inclusion in banach spaces |
| url | http://dx.doi.org/10.1155/S0161171204209395 |
| work_keys_str_mv | AT cechidume iterativeapproximationofasolutionofageneralvariationallikeinclusioninbanachspaces AT krkazmi iterativeapproximationofasolutionofageneralvariationallikeinclusioninbanachspaces AT hzegeye iterativeapproximationofasolutionofageneralvariationallikeinclusioninbanachspaces |