ITERATIVE REGULARIZATION METHOD OF ZERO ORDER FOR SOLVING SYSTEM OF NONLINEAR MONOTONE ILL-POSED EQUATIONS

Abstract

Many issues of science, technology, economics and ecology, etc. lead to solving ill-posed
problems; due to the instability of this type of problem, stable methods must be applied to
solve it, such that the smaller the errors of the input data, the closer the approximate solution
to the correct solution of the original problem. In this article, the author proposes the iterative
regularization method of zero order for solving the system of nonlinear monotone ill-posed
equations with A0 which is monotone hemi-continuous and with the others which are inversestrongly monotone. Numerical examples to illustrate the proposed method are also included in this article.