Abstract
The main aim of this paper is to study convergence rates for an operator method of regularization to solve nonlinear ill-posed problems involving monotone operators in infinite-dimentional Hilbert space without needing closeness conditions. Then these results are presented in form of combination with finite-dimentional approximations of the space. An iterative method for solving regularized equation is given and an example in the theory of singular integral equations is considered for illustration.
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