Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems

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Modern regularization methods for inverse problems (2018, methodology): “For F (K(u), f δ) = 1 2‖K(u) − f ‖(2)L2(Σ) and J(u, α) = α p ‖u‖ p Lp(Ω) this method has first been introduced and analyzed in [237].”
Bayesian inverse problems for functions and applications to fluid mechanics (2009, background): “For the Hilbert spaces setting see the book [21] and the references therein; for the Banach space setting see the recent papers [42, 52, 34] and the references therein.”
Inverse problems: A Bayesian perspective (2010, background): “…to inverse problems is widely studied, including in the infinite-dimensional setting of Hilbert spaces – see the book by Engl et al. (1996) and the references therein – and Banach spaces – see the papers by Kaltenbacher et al. (2009), Neubauer (2009) and Hein (2009) and the references therein.”