?-continuity condition Banach space Chebyshev–Halley-type Fredholm integral equation Fréchet derivative Frédholm integral equation Hilbert space Hull–White Jarratt method Kantorovich hypothesis King’s family Kung–Traub conjecture Lipschitz condition Moore–Penrose Newton method Newton-HSS method Newton-like method Newton-type methods Newton’s iterative method Newton’s method Newton’s second order method PDE Padé approximation Picard-HSS method Potra–Pták method R-order Steffensen’s method accretive operators asymptotic error constant attractor basin