Newton's methods for variational inclusions under conditioned Fréchet derivative
Volume 34 / 2007
Applicationes Mathematicae 34 (2007), 349-357
MSC: 47H04, 65K10, 49J53.
DOI: 10.4064/am34-3-6
Abstract
Estimates of the radius of convergence of Newton's methods for variational inclusions in Banach spaces are investigated under a weak Lipschitz condition on the first Fréchet derivative. We establish the linear convergence of Newton's and of a variant of Newton methods using the concepts of pseudo-Lipschitz set-valued map and $\omega $-conditioned Fréchet derivative or the center-Lipschitz condition introduced by the first author.
