Two convergence results for continuous descent methods
Date
2003-03-10
Authors
Reich, Simeon
Zaslavski, Alexander J.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We consider continuous descent methods for the minimization of convex functionals defined on general Banach space. We establish two convergence results for 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.
Description
Keywords
Complete metric space, Convex function, Descent method, Porous set, Regular vector field
Citation
Reich, S., & Zaslavski, A. J. (2003). Two convergence results for continuous descent methods. <i>Electronic Journal of Differential Equations, 2003</i>(24), pp. 1-11.
Rights
Attribution 4.0 International