A discrepancy principle for equations with monotone continuous operators
نویسندگان
چکیده
A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter a(δ) is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator. MSC: 47J05, 47J06, 47J35, 65R30
منابع مشابه
Nonlinear analysis: Theory, Methods and Applications, A discrepancy principle for equations with monotone continuous operators
A discrepancy principle for solving nonlinear equations with monotone operators given noisy data is formulated. The existence and uniqueness of the corresponding regularization parameter a(δ) is proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator. MSC: 47J05, 47J06, 47J35, 65R30
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