%0 Journal Article
%T Convergence results for a class of abstract continuous descent methods
%A Sergiu Aizicovici
%A Simeon Reich
%A Alexander J. Zaslavski
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X We study continuous descent methods for the minimization of Lipschitzian functions defined on a general Banach space. We establish convergence theorems for those methods which are generated by approximate solutions to evolution equations governed by regular vector fields. Since the complement of the set of regular vector fields is $sigma$-porous, we conclude that our results apply to most vector fields in the sense of Baire's categories.
%K Complete metric space
%K descent method
%K Lipschitzian function
%K porous set
%K regular vector field.
%U http://ejde.math.txstate.edu/Volumes/2004/45/abstr.html