On the Semilocal Convergence of the Multi–Point Variant of Jarratt Method: Unbounded Third Derivative Case

On the Semilocal Convergence of the Multi–Point Variant of Jarratt Method: Unbounded Third Derivative Case

In this paper, we study the semilocal convergence of the multi-point variant of Jarratt method under two different mild situations. The first one is the assumption that just a second-order Fréchet derivative is bounded instead of third-order. In addition, in the next one, the bound of the n...

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Bibliographic Details
Main Authors: Zhang Yong, Neha Gupta, J. P. Jaiswal, Kalyanasundaram Madhu
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
Banach space
semilocal convergence
ω-continuity condition
Jarratt method
error bound
Online Access:https://www.mdpi.com/2227-7390/7/6/540

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