Abstract
An error estimate for the minimal error method for nonlinear ill-posed problems under general a Hölder-type source condition is not known. We consider a modified minimal error method for nonlinear ill-posed problems. Using a Hölder-type source condition, we obtain an optimal order error estimate. We also consider the modified minimal error method with noisy data and provide an error estimate.
Funding statement: One of the authors, Ms. Sabari, thanks National Institute of Technology Karnataka, India, for the financial support.
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