Geodesic
Local analysis of a cubically convergent method for variational inclusions
Steeve Burnet1 ; Alain Pietrus1
1 Laboratoire LAMIA, EA 4540 Département de Mathématiques et Informatique Université des Antilles et de la Guyane Campus de Fouillole 97159 Pointe-à-Pitre, France
Applicationes Mathematicae, Tome 38 (2011) no. 2, pp. 183-191.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This paper deals with variational inclusions of the form $0\in \varphi(x)+F(x)$ where $\varphi$ is a single-valued function admitting a second order Fréchet derivative and $F$ is a set-valued map from $\Bbb R^q$ to the closed subsets of $\Bbb R^q$. When a solution $\bar z$ of the previous inclusion satisfies some semistability properties, we obtain local superquadratic or cubic convergent sequences.
DOI : 10.4064/am38-2-4
Keywords: paper deals variational inclusions form varphi where varphi single valued function admitting second order chet derivative set valued map bbb closed subsets bbb solution bar previous inclusion satisfies semistability properties obtain local superquadratic cubic convergent sequences

Steeve Burnet 1 ; Alain Pietrus 1

1 Laboratoire LAMIA, EA 4540 Département de Mathématiques et Informatique Université des Antilles et de la Guyane Campus de Fouillole 97159 Pointe-à-Pitre, France 
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Steeve Burnet; Alain Pietrus. Local analysis of a cubically convergent method
 for variational inclusions. Applicationes Mathematicae, Tome 38 (2011) no. 2, pp. 183-191. doi : 10.4064/am38-2-4. http://geodesic.mathdoc.fr/articles/10.4064/am38-2-4/

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