Argyros, I.K.George, S.2020-03-312020-03-312016Rendiconti del Circolo Matematico di Palermo, 2016, Vol.65, 1, pp.87-96https://idr.nitk.ac.in/handle/123456789/11558We present a local convergence analysis for Euler Halley-like methods with a parameter in order to approximate a locally unique solution of an equation in a Banach space setting. Using more flexible Lipschitz-type hypotheses than in earlier studies such as Huang and Ma (Numer Algorith 52:419 433, 2009), we obtain a larger radius of convergence as well as more precise error estimates on the distances involved. Numerical examples justify our theoretical results. 2015, Springer-Verlag Italia.Article