On monotone ill-posed problems in Hilbert spaces

Nguyễn Bường


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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Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology