On a generalized Arcangeli's method for Tikhonov regularization with Inexact data

A class of parameter choice strategies which, include an approximated version of the Arcangeli's method is considered for ill-posed operator equations when the data are not known exactly. A particular case of the method is a generalization and modification of the Marti's method, in which case the results include, and in certain cases improve the conclusions of Engl and Neubauer (1985) under weaker conditions.