Translate 
Abstract
Abstract In this paper, we consider simplified iterated Lavrentiev regularization in Hilbert scales for obtaining stable approximation solution of an ill-posed nonlinear equation of the form F ( x ) = y {F(x)=y} , where F : 𝒟 ( F ) ⊆ X → X {F:\mathcal{D}(F)\subseteq X\to X} is a nonlinear operator on Hilbert space X. We use Morozov-type stopping rule to terminate the iterations. Under suitable non-linearly conditions on operator F, we prove convergence of method and obtain a rate of convergence result.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
