Open Access
2008 REGULAR VECTOR-FIELDS IN BANACH SPACES
Simeon Reich, Alexander J. Zaslavski
Taiwanese J. Math. 12(5): 1165-1176 (2008). DOI: 10.11650/twjm/1500574255

Abstract

It is known that regular vector-fields generate convergent discrete and continuous descent methods for minimizing functions. In this note we present necessary and sufficient conditions for regularity of descent vectorfields associated with convex and Lipschitz functions defined on general Banach spaces.

Citation

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Simeon Reich. Alexander J. Zaslavski. "REGULAR VECTOR-FIELDS IN BANACH SPACES." Taiwanese J. Math. 12 (5) 1165 - 1176, 2008. https://doi.org/10.11650/twjm/1500574255

Information

Published: 2008
First available in Project Euclid: 20 July 2017

zbMATH: 1161.37053
MathSciNet: MR2431887
Digital Object Identifier: 10.11650/twjm/1500574255

Subjects:
Primary: 37L99 , ‎54E50‎ , 54E52 , 90C25 , 90C26

Keywords: Banach space , convex function , descent method , Lipschitz function , minimization problem , regular vector-field

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 5 • 2008
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