Open AccessOn liskovets approach for nonlinear ill-posed problems under arbitrarily perturbative operators
Author(s) -
Nguyễn Bường
Publication year - 2016
Publication title -
journal of computer science and cybernetics (vietnam academy of science and technology)/journal of computer science and cybernetics
Language(s) - English
Resource type - Journals
eISSN - 2815-5939
pISSN - 1813-9663
DOI - 10.15625/1813-9663/14/3/7929
Subject(s) - tikhonov regularization , mathematics , banach space , nonlinear system , regularization (linguistics) , convergence (economics) , well posed problem , monotone polygon , space (punctuation) , approximation property , mathematical analysis , inverse problem , computer science , physics , quantum mechanics , economics , economic growth , operating system , geometry , artificial intelligence
The purpose of this paper is to present a modification of Liskovets’s approach of solution of nonlinear ill-posed problems involving monotone operators in real reflexive Banach space under arbitrarily perturbative operators. The aspect of convergence of Tikhonov regularization is considered in combination with finite-dimensional approximations of the space.