A family of chebyshev-halley type methods

The aim of this paper is to find, for each nonlinear equation f (x) = 0, a Chebyshev-Halley type iterative process in the form x n = F(x n-1), with at least cubical convergence, to solve this equation. Moreover, from this study we obtain new global convergence Theorems for Halley and Chebyschev methods.