Local analysis of a cubically convergent method for variational inclusions
Steeve Burnet ; Alain Pietrus
Applicationes Mathematicae, Tome 38 (2011), p. 183-191 / Harvested from The Polish Digital Mathematics Library
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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 ℝq to the closed subsets of ℝq. When a solution z̅ of the previous inclusion satisfies some semistability properties, we obtain local superquadratic or cubic convergent sequences.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:279875 
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Steeve Burnet; Alain Pietrus. Local analysis of a cubically convergent method for variational inclusions. Applicationes Mathematicae, Tome 38 (2011) pp. 183-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-2-4/