Majorizing Sequences for Nonlinear Fredholm–Hammerstein Integral Equations

  1. Ezquerro, J.A. 1
  2. Hernández-Verón, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revue:
Studies in Applied Mathematics

ISSN: 0022-2526

Année de publication: 2018

Volumen: 140

Número: 3

Pages: 270-297

Type: Article

DOI: 10.1111/SAPM.12200 SCOPUS: 2-s2.0-85043310500 WoS: WOS:000426797600002 GOOGLE SCHOLAR

D'autres publications dans: Studies in Applied Mathematics

Projets liés

Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.

2015/00069/001

Résumé

We use the method of majorizing sequences to study the applicability of Newton's method to solve nonlinear Fredholm–Hammerstein integral equations. For this, we use center convergence conditions on points different from the starting point of Newton's method, which is the point usually used by other authors until now when center conditions are required. In addition, the theoretical significance of the method is used to draw conclusions about the existence and uniqueness of solutions and about the region in which they are located. As a result, we modify the domain of starting points for Newton's method. © 2017 Wiley Periodicals, Inc., A Wiley Company