Convergence rates of nonlinear inverse problems in Banach spaces: conditional stability and weaker norms

Gaurav Mittal; Ankik Kumar Giri

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arXiv · 1805.11854

Convergence rates of nonlinear inverse problems in Banach spaces: conditional stability and weaker norms

Gaurav Mittal·Ankik Kumar Giri

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Abstract

In this short note, we formulate the convergence rates of the well known Tikhonov regularization scheme for solving the nonlinear ill-posed problems in Banach spaces. For deriving the convergence rates, we employ the novel smoothness concept of conditional stability estimates in terms of weaker norms. Moreover, we show that our results are applicable on two ill-posed inverse problems.

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Gaurav Mittal, Ankik Kumar Giri. 2022-11-29. Convergence rates of nonlinear inverse problems in Banach spaces: conditional stability and weaker norms. https://arxiv.org/abs/1805.11854

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