On the existence and stability of minimizers for generalized Tikhonov functionals with general similarity data

We study a unified form of Tikhonov regularization for ill-posed problems with a general data similarity term. We discuss sufficient conditions on this generalized Tikhonov functional that guarantee existence and stability of solutions. Furthermore, we show that some particular cases of similarity f...

Full description

Bibliographic Details
Main Authors: El Mostafa Kalmoun, Fatimah Allami
Format: Article
Language:English
Published: AIMS Press 2021-01-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021169?viewType=HTML