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Convergence radius of Osada’s method under center-Hölder continuous condition

✍ Scribed by Zhou, Xiaojian; Song, Yongzhong


Book ID
125510667
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
352 KB
Volume
243
Category
Article
ISSN
0096-3003

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We study the convergence properties for some inexact Newton-like methods including the inexact Newton methods for solving nonlinear operator equations on Banach spaces. A new type of residual control is presented. Under the assumption that the derivative of the operator satisfies the Hölder conditio