Convergence results of nonlinear problems based on Tikhonov regularization method

被引：0

作者：

Yuan, Qionglin ^{[1
]}

Wang, Jinping ^{[2
]}

机构：

[1] Ningbo Univ, Sch Basic Educ, Coll Sci & Technol, Ningbo, Peoples R China

[2] Ningbo Univ, Sch Math & Stat, Ningbo, Peoples R China

来源：

APPLICABLE ANALYSIS | 2023年 / 102卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Nonlinear ill-posed problem; variational inequality; convergent rates; Tikhonov regularization; source conditions;

D O I：

10.1080/00036811.2022.2143354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the convergent results of Tikhonov regularization method for solving nonlinear ill-posed problems with noisy operator in Banach spaces. And we give the convergent rates while both the right-hand side of the equation and the operator are given approximately errors. Furthermore we prove that the convergent rates depend on the interplay of the solution smoothness and the nonlinearity structure, and obtain concisely variational inequalities results about them.

引用

页码：4851 / 4863

页数：13

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