Newton's methods for variational inclusions under conditioned Fréchet derivative

Ioannis K. Argyros, and Saïd Hilout. "Newton's methods for variational inclusions under conditioned Fréchet derivative." Applicationes Mathematicae 34.3 (2007): 349-357. <http://eudml.org/doc/280040>.

@article{IoannisK2007,
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 ω-conditioned Fréchet derivative or the center-Lipschitz condition introduced by the first author.},
author = {Ioannis K. Argyros, Saïd Hilout},
journal = {Applicationes Mathematicae},
keywords = {variational inclusions; Newton type methods; Aubin continuity},
language = {eng},
number = {3},
pages = {349-357},
title = {Newton's methods for variational inclusions under conditioned Fréchet derivative},
url = {http://eudml.org/doc/280040},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Ioannis K. Argyros
AU - Saïd Hilout
TI - Newton's methods for variational inclusions under conditioned Fréchet derivative
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 3
SP - 349
EP - 357
AB - 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 ω-conditioned Fréchet derivative or the center-Lipschitz condition introduced by the first author.
LA - eng
KW - variational inclusions; Newton type methods; Aubin continuity
UR - http://eudml.org/doc/280040
ER -