On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems

@article{Hofmann2010OnTI,
  title={On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems},
  author={Bernd Hofmann and Masahiro Yamamoto},
  journal={Applicable Analysis},
  year={2010},
  volume={89},
  pages={1705 - 1727}
}
In the past few years, convergence rates results for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces have been published, where the classical concept of source conditions was replaced with variational inequalities holding on some level sets. This essentially advanced the analysis of non-smooth situations with respect to forward operators and solutions. In fact, such variational inequalities combine both structural conditions on the nonlinearity of the operator and… 
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