CONVERGENCE ANALYSIS OF AN ITERATIVE METHOD FOR NONLINEAR OPERATOR EQUATIONS USING A MAJORIZING SEQUENCE
Abstract
In this paper we consider the Lavrentiev regularization method for obtaining stable approximate solution to nonlinear ill-posed operator equations where is a nonlinear monotone operator and is a real Hilbert space. Under the assumption that is Lipschitz continuous, the iteration converges to the unique solution of the equation .
Keywords
Nonlinear ill-posed operator, Monotone operator, Majorizing sequence, Lavrentiev regularization.
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