Theory and examples of variational regularization with non-metric fitting functionals

@inproceedings{Flemming2010TheoryAE,
  title={Theory and examples of variational regularization with non-metric fitting functionals},
  author={Jens Flemming},
  year={2010}
}
We describe and analyze a general framework for solving ill-posed operator equations by minimizing Tikhonov-like functionals. The fitting functional may be nonmetric and the operator is allowed to be non-linear and non-smooth. In comparison to former results on variational regularization with non-metric fitting functionals we significantly weaken the assumptions for proving convergence rates and, in addition, we extend the results to a wider range of rates. Two examples, coming from imaging… CONTINUE READING

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