Descent methods for convex optimization problems in Banach spaces

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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Main Author: M. S. S. Ali
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.2347
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spelling doaj-2ee6c2c5b0f545bb9a5c36831dd7ec912020-11-24T23:31:57ZengHindawi LimitedInternational 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
collection DOAJ
language English
format Article
sources DOAJ
author M. S. S. Ali
spellingShingle M. S. S. Ali
Descent methods for convex optimization problems in Banach spaces
International Journal of Mathematics and Mathematical Sciences
author_facet M. S. S. Ali
author_sort M. S. S. Ali
title Descent methods for convex optimization problems in Banach spaces
title_short 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_sort descent methods for convex optimization problems in banach spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
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.
url http://dx.doi.org/10.1155/IJMMS.2005.2347
work_keys_str_mv AT mssali descentmethodsforconvexoptimizationproblemsinbanachspaces
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