Derivative Free Iterative Scheme for Monotone Nonlinear Ill-posed Hammerstein-Type Equations

Shobha M. Erappa, Santhosh George

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
JournalIAENG International Journal of Applied Mathematics
Volume51
Issue number1
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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