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.
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Aizicovici, S., Reich, S. & Zaslavski, A.J. Convergence theorems for continuous descent methods. J.evol.equ. 4, 139–156 (2004). https://doi.org/10.1007/s00028-003-0134-7
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DOI: https://doi.org/10.1007/s00028-003-0134-7