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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Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences Jg. 2005; H. 15; S. 2347 - 2357-184
1. Verfasser: Ali, M. S. S.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Hindawi Limiteds 01.01.2005
Wiley
ISSN:0161-1712, 1687-0425
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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.
AbstractList 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.
Author M. S. S. ALI
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Title DESCENT METHODS FOR CONVEX OPTIMIZATION PROBLEMS IN BANACH SPACES
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