Abstract
The paper considers a method for solving nonlinear ill-posed problems with monotone operators. The approach combines the Lavrentiev method, the fixedpoint method, and the balancing principle for selection of the regularization parameter. The method’s optimality has been proved for some set of smooth solutions. A test example proves the efficiency of the proposed method.
Keywords: Lavrentiev regularization; fixed-point iteration method; balancing principle; monotone operator
Received: 2010-11-20
Revised: 2010-12-04
Accepted: 2010-12-23
Published Online: 2010
Published in Print: 2010
© Institute of Mathematics, NAS of Belarus
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