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Title: Derivative Free Iterative Scheme for Monotone Nonlinear Ill-posed Hammerstein-Type Equations
Authors: Erappa S.M.
George S.
Issue Date: 2021
Citation: IAENG International Journal of Applied Mathematics , Vol. 51 , 1 , p. -
Abstract: An iterative scheme which is free of derivative is employed to approximately solve nonlinear ill-posed Hammer-stein type operator equations )TG(x) = Y, where G is a non-linear monotone operator and ) is a bounded linear operator defined on Hilbert spaces X,Y,Z. The convergence analysis adapted in the paper includes weaker Lipschitz condition and adaptive choice of Perverzev and Schock(2005) is employed to choose the regularization parameter U. Furthermore, order optimal error bounds are obtained and the method is validated by a numerical example. © 2021, IAENG International Journal of Applied Mathematics. All Rights Reserved.
Appears in Collections:1. Journal Articles

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