TY - JOUR AU - Argyros, Ioannis K. PY - 1970/01/01 Y2 - 2024/03/28 TI - On the local convergence of a midpoint method in banach spaces under a gamma-type condition JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 28 IS - 2 SE - DO - 10.4067/S0716-09172009000200005 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1375 SP - 155-167 AB - <span>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 [5], [6]. Here, we use gamma-type condition to provide a local convergence analysis. Our results compare favorably with the relevant ones in [9], [11], [12]-[14]- In particular our radius of convergence is larger. Numerical examples are also provided.</span> ER -