Semilocal Convergence Theorem for the Inverse-Free Jarratt Method under New Hölder Conditions

الملخص EN

Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation.

We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate.

Finally, three examples are provided to show the application of the theorem.