A Discrepancy Principle for Equations with Monotone Continuous Operators [chapter]

2012 Dynamical Systems Method and Applications  
MSC: Keywords: Discrepancy principle Monotone operators Regularization Nonlinear operator equations Ill-posed problems a b s t r a c t 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) are proved. Convergence of the solution obtained by the discrepancy principle is justified. The results are obtained under natural assumptions on the nonlinear operator.
doi:10.1002/9781118199619.ch19 fatcat:4nv6bgut5zdiditxfbdijesxru