International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 2005 / Article

Open Access

Volume 2005 |Article ID 484251 | https://doi.org/10.1155/IJMMS.2005.2347

M. S. S. Ali, "Descent methods for convex optimization problems in Banach spaces", International Journal of Mathematics and Mathematical Sciences, vol. 2005, Article ID 484251, 11 pages, 2005. https://doi.org/10.1155/IJMMS.2005.2347

Descent methods for convex optimization problems in Banach spaces

Received03 Nov 2004
Revised22 Jul 2005

Abstract

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.

Copyright © 2005 M. S. S. Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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