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Newton-Kantorovich convergence theorem of a new modified Halley’s method family in a Banach space

✍ Scribed by Lin, Rongfei; Zhao, Yueqing; Šmarda, Zdeněk; Wu, Qingbiao; Khan, Yasir


Book ID
125401699
Publisher
Springer International Publishing AG
Year
2013
Tongue
English
Weight
225 KB
Volume
2013
Category
Article
ISSN
1687-1839

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In this study, we approximate a locally unique solution of a nonlinear equation in Banach space using the Jarratt method. Sufficient convergence conditions for this method have already been given by several authors, when the equation is defined on the real line, or complex plane [1-3], or in Banach