Newton's methods for variational inclusions under conditioned Fréchet derivative

• Autorzy: Ioannis K. Argyros , Saïd Hilout
• Języki publikacji: EN

Abstrakty

EN

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.

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: 2007
• Tom: 34
• Numer: 3
• Strony: 349-357

Daty

wydano

2007

Twórcy

autor

Ioannis K. Argyros

• Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, U.S.A.

autor

Saïd Hilout

• Department of Applied Mathematics, and Computation, Faculty of Science and Technics of Béni-Mellal, B.P. 523, Béni-Mellal 23000, Morocco

Identyfikatory

DOI

10.4064/am34-3-6