An iterative method for solution of nonlinear operator equation

Nguyễn Bường

Abstract


In the note, for finding a solution of nonlinear operator equation of Hammerstein’s type an iterative process in infinite-dimentional Hilbert space is shown, where a new iteration is constructed basing on two last steps. An example in the theory of nonlinear integral equations is given for illustration.




DOI: https://doi.org/10.15625/1813-9663/13/1/7978

Journal of Computer Science and Cybernetics ISSN: 1813-9663

Published by Vietnam Academy of Science and Technology