Local analysis of a cubically convergent method for variational inclusions

• Autorzy: Steeve Burnet , Alain Pietrus
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47H04: Set-valued operators
• 65K10: Optimization and variational techniques
• 49J53: Set-valued and variational analysis

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 2
• Strony: 183-191

Daty

wydano

2011

Twórcy

autor

Steeve Burnet

• Laboratoire LAMIA, EA 4540, Département de Mathématiques et Informatique, Université des Antilles et de la Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre, France

autor

Alain Pietrus

• Laboratoire LAMIA, EA 4540, Département de Mathématiques et Informatique, Université des Antilles et de la Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre, France

Identyfikatory

DOI

10.4064/am38-2-4