(1) Department of Mathematics, Ohio University, 45701-2979 Athens, OH, USA;(2) Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel
Abstract:
We examine continuous descent methods for the minimization ofLipschitzian functions defined on a general Banach space. We establishseveral convergence theorems for those methods which are generated byregular vector fields. Since the complement of the set of regular vectorfields is -porous, we conclude that our results apply to mostvector fields in the sense of Baires categories.