On the Halley method in Banach spaces

• Autorzy: Ioannis K. Argyros , Hongmin Ren
• Języki publikacji: EN

Abstrakty

EN

We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65G99: None of the above, but in this section
• 47J05: Equations involving nonlinear operators (general)
• 65J15: Equations with nonlinear operators (do not use )
• 65H10: Systems of equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 2
• Strony: 243-255

Daty

wydano

2012

Twórcy

autor

Ioannis K. Argyros

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

autor

Hongmin Ren

• College of Information and Electronics, Hangzhou Polytechnic, Hangzhou 31140, Zhejiang, P.R. China

Identyfikatory

DOI

10.4064/am39-2-9