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Secant-like methods for solving nonlinear integral equations of the Hammerstein type

✍ Scribed by M.A. Hernández; M.J. Rubio; J.A. Ezquerro

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
95 KB
Volume
115
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 di erent secant-type methods.

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