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

Zeitschrift:
Studies in Applied Mathematics

ISSN: 0022-2526

Datum der Publikation: 2018

Ausgabe: 140

Nummer: 3

Seiten: 270-297

Art: Artikel

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

Andere Publikationen in: Studies in Applied Mathematics

Projekte im Zusammenhang

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

Zusammenfassung

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