Local analysis of a cubically convergent method for variational inclusions

Steeve Burnet, and Alain Pietrus. "Local analysis of a cubically convergent method for variational inclusions." Applicationes Mathematicae 38.2 (2011): 183-191. <http://eudml.org/doc/279875>.

@article{SteeveBurnet2011,
abstract = {This paper deals with variational inclusions of the form 0 ∈ φ(x) + F(x) where φ is a single-valued function admitting a second order Fréchet derivative and F is a set-valued map from $ℝ^q$ to the closed subsets of $ℝ^q$. When a solution z̅ of the previous inclusion satisfies some semistability properties, we obtain local superquadratic or cubic convergent sequences.},
author = {Steeve Burnet, Alain Pietrus},
journal = {Applicationes Mathematicae},
keywords = {set-valued mapping; generalized equations; semistability; pseudo-Lipschitz maps},
language = {eng},
number = {2},
pages = {183-191},
title = {Local analysis of a cubically convergent method for variational inclusions},
url = {http://eudml.org/doc/279875},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Steeve Burnet
AU - Alain Pietrus
TI - Local analysis of a cubically convergent method for variational inclusions
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 2
SP - 183
EP - 191
AB - This paper deals with variational inclusions of the form 0 ∈ φ(x) + F(x) where φ is a single-valued function admitting a second order Fréchet derivative and F is a set-valued map from $ℝ^q$ to the closed subsets of $ℝ^q$. When a solution z̅ of the previous inclusion satisfies some semistability properties, we obtain local superquadratic or cubic convergent sequences.
LA - eng
KW - set-valued mapping; generalized equations; semistability; pseudo-Lipschitz maps
UR - http://eudml.org/doc/279875
ER -