
The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a stability result.
47H15, 45G10,35B25, Numerical solutions of ill-posed problems in abstract spaces; regularization, Linear operators and ill-posed problems, regularization, Applied Mathematics, discrepancy principle, Hilbert space, Numerical Analysis (math.NA), minimal-norm solution, ill-posed problems, Numerical solutions to equations with linear operators, FOS: Mathematics, Mathematics - Numerical Analysis, Analysis
47H15, 45G10,35B25, Numerical solutions of ill-posed problems in abstract spaces; regularization, Linear operators and ill-posed problems, regularization, Applied Mathematics, discrepancy principle, Hilbert space, Numerical Analysis (math.NA), minimal-norm solution, ill-posed problems, Numerical solutions to equations with linear operators, FOS: Mathematics, Mathematics - Numerical Analysis, Analysis
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