Secant-like methods for solving nonlinear integral equations of Hammerstein typesp

  1. Hernández, M.A. 1
  2. Rubio, M.J. 1
  3. Ezquerro, J.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Revista:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Año de publicación: 2000

Volumen: 115

Número: 1-2

Páginas: 245-254

Tipo: Artículo

SCOPUS: 2-s2.0-0034159382 WoS: WOS:000085311600019 GOOGLE SCHOLAR

Otras publicaciones en: Journal of Computational and Applied Mathematics

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for these iterations by means of a technique based on a new system of recurrence relations. This result is then applied to obtain existence and uniqueness results for nonlinear integral equations of the Hammerstein type. We also present a numerical example where the solution of a particular Hammerstein integral equation is approximated by different secant-type methods. © 2000 Elsevier Science B.V.