%0 Journal Article
%T A discrepancy principle for equations with monotone continuous operators
%A N. S. Hoang
%A A. G. Ramm
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0903.0553v1