id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ma-94	Regmi, Samundra; Argyros, Ioannis K.; George, Santhosh ; Argyros, Christopher  I.	Developments of Newton’s Method under Hölder Conditions	2022-06-13	9	.pdf	application/pdf	2608	204	79	Hdp ≤ 1 − ( p 1 + p )p , R ≥ 1 + p 2 + p− (1 + p)p d and Ū(x0, r) ⊂ Ω. Then, limn−→∞xn = x∗ ∈ U(x0, r),F (x∗) = 0 and ‖x∗ −xn‖≤ ( 1 1 + p )n [(1 + p)H 1 p d](1+p) n H 1 p . U(x0, r0), F (x∗) = 0 and ‖x∗ −xn‖≤ ( λ 1 p 1 −λ )(1+p)n d µ 1 p , where λ = Hr p 0 1−H0r p 0 ( d r0 )p 1 1+p < 1 and r0 is the minimal positive root of scalar equation (2 + p)Ht1+p − (1 + p)(t −d)	cache/ma-94.pdf	txt/ma-94.txt
