On the local convergence of a midpoint method in banach spaces under a gamma-type condition
Argyros, Ioannis K.
In this study we are concerned with the problem of approximating a locally unique solution of an operator equation in a Banach space setting using the midpoint method, introduced by us in , . Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorably with the relevant ones in , , -- In particular our radius of convergence is larger. Numerical examples are also provided.