A discrepancy principle for equations with monotone continuous operators

N. S. Hoang, A. G. Ramm

Published 2009-03-03Version 1

A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter $a(\delta)$ is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator.