On the ball of convergence of secant-like methods for non-differentiable operators

摘要

In this paper, we analyze the local convergence of a uniparametric family of secant-like methods for solving nonlinear operators in Banach spaces. This new study has an important and novel feature, since it is applicable to non-differential operators. So far, the results of local convergence usually considered can be only applied to differentiable operators.