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Convergence theorems for continuous descent methods

Convergence theorems for continuous descent methods We examine continuous descent methods for the minimization of Lipschitzian functions defined on a general Banach space. We establish several convergence theorems for those methods which are generated by regular vector fields. Since the complement of the set of regular vector fields is σ-porous, we conclude that our results apply to most vector fields in the sense of Baire’s categories. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Evolution Equations Springer Journals

Convergence theorems for continuous descent methods

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2004 by Birkhäuser-Verlag
Subject
Mathematics
ISSN
1424-3199
eISSN
1424-3202
DOI
10.1007/s00028-003-0134-7
Publisher site
See Article on Publisher Site

Abstract

We examine continuous descent methods for the minimization of Lipschitzian functions defined on a general Banach space. We establish several convergence theorems for those methods which are generated by regular vector fields. Since the complement of the set of regular vector fields is σ-porous, we conclude that our results apply to most vector fields in the sense of Baire’s categories.

Journal

Journal of Evolution EquationsSpringer Journals

Published: Mar 1, 2004

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