Descent methods for convex optimization problems in Banach spaces
We consider optimization problems in Banach spaces, whose cost functions are convex and smooth, but do not possess strengthened convexity properties. We propose a general class of iterative methods, which are based on combining descent and regularization approaches and provide strong convergence of...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2347 |
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| _version_ | 1832556174937948160 |
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| author | M. S. S. Ali |
| author_facet | M. S. S. Ali |
| author_sort | M. S. S. Ali |
| collection | DOAJ |
| description | We consider optimization problems in Banach spaces, whose cost functions are convex and smooth, but do not possess strengthened convexity properties. We propose a general class of iterative methods, which are based on combining descent and regularization approaches and provide strong convergence of iteration sequences to a solution of the initial problem. |
| format | Article |
| id | doaj-art-2ee6c2c5b0f545bb9a5c36831dd7ec91 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2ee6c2c5b0f545bb9a5c36831dd7ec912025-02-03T05:45:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005152347235710.1155/IJMMS.2005.2347Descent methods for convex optimization problems in Banach spacesM. S. S. Ali0Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, EgyptWe consider optimization problems in Banach spaces, whose cost functions are convex and smooth, but do not possess strengthened convexity properties. We propose a general class of iterative methods, which are based on combining descent and regularization approaches and provide strong convergence of iteration sequences to a solution of the initial problem.http://dx.doi.org/10.1155/IJMMS.2005.2347 |
| spellingShingle | M. S. S. Ali Descent methods for convex optimization problems in Banach spaces International Journal of Mathematics and Mathematical Sciences |
| title | Descent methods for convex optimization problems in Banach spaces |
| title_full | Descent methods for convex optimization problems in Banach spaces |
| title_fullStr | Descent methods for convex optimization problems in Banach spaces |
| title_full_unstemmed | Descent methods for convex optimization problems in Banach spaces |
| title_short | Descent methods for convex optimization problems in Banach spaces |
| title_sort | descent methods for convex optimization problems in banach spaces |
| url | http://dx.doi.org/10.1155/IJMMS.2005.2347 |
| work_keys_str_mv | AT mssali descentmethodsforconvexoptimizationproblemsinbanachspaces |