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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| Vydáno v: | International Journal of Mathematics and Mathematical Sciences Ročník 2005; číslo 15; s. 2347 - 2357-184 |
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| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Hindawi Limiteds
01.01.2005
Wiley |
| ISSN: | 0161-1712, 1687-0425 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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. |
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| Bibliografie: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0161-1712 1687-0425 |
| DOI: | 10.1155/IJMMS.2005.2347 |