On monotone ill-posed problems in Hilbert spaces

Nguyễn Bường

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.




DOI: https://doi.org/10.15625/1813-9663/11/4/8155

Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology