Regularization Methods in Banach Spaces

By Tal Schuster, Barbara Kaltenbacher, Bernd Hofmann, K. Kazimierski. Radon Series on Computational and Applied Mathematics, 2012

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Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces (2014, background): “[5,8,9]), and summarize some mathematical consequences of those standard assumptions.”
A tutorial on inverse problems for anomalous diffusion processes (2015, neutral): “We refer interested readers to the monographs [26, 92, 41] and the survey [49] for updated accounts on regularization methods for constructing stable reconstructing procedures and efficient computational techniques.”
Modern regularization methods for inverse problems (2018, background): “[337, 73]) that effectively measure how well the range condition can be approximated.”
Regularization of linear inverse problems with total generalized variation (2014, background): “It is worth mentioning that, as the result of the great interest in the recent years, the study of regularization functionals in general, non-reflexive Banach spaces is now a wellestablished part of the theory of inverse problems (see, for instance, [15, 23, 25] and the references therein).”