Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space

Table 1

Error computing results of (42).

𝑛	Newton method	Method (16) with 𝑝=2/3, 𝛼=1/2
1	5.215×10^−1	2.2371×10^−3
2	6.610×10^−2	1.3667×10^−9
3	14.017×10^−4	3.1229×10^−28