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A variant of the Newton–Kantorovich theorem for nonlinear integral equations of mixed Hammerstein type

✍ Scribed by J.A. Ezquerro; D. González; M.A. Hernández

Book ID
113440318
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
349 KB
Volume
218
Category
Article
ISSN
0096-3003

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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