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

Zeitschrift:
Journal of Computational and Applied Mathematics

ISSN: 0377-0427

Datum der Publikation: 2000

Ausgabe: 115

Nummer: 1-2

Seiten: 245-254

Art: Artikel

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

Andere Publikationen in: Journal of Computational and Applied Mathematics

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

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.