CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Picard's Iterations for Integral Equations of Mixed Hammerstein Type

  Published:2008-09-01
 Printed: Sep 2008
  • J. A. Ezquerro
  • M. A. Hernández
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

A new semilocal convergence result for the Picard method is presented, where the main required condition in the contraction mapping principle is relaxed.
Keywords: nonlinear equations in Banach spaces, successive approximations, semilocal convergence theorem, Picard's iteration, Hammerstein integral equations nonlinear equations in Banach spaces, successive approximations, semilocal convergence theorem, Picard's iteration, Hammerstein integral equations
MSC Classifications: 45G10, 47H99, 65J15 show english descriptions Other nonlinear integral equations
None of the above, but in this section
Equations with nonlinear operators (do not use 65Hxx)
45G10 - Other nonlinear integral equations
47H99 - None of the above, but in this section
65J15 - Equations with nonlinear operators (do not use 65Hxx)
 

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/