On improving the semilocal convergence of newton-type iterative method for ill-posed Hammerstein type operator equations

Erappa, M.E.George, S.2026-02-052013IAENG International Journal of Applied Mathematics, 2013, 43, 2, pp. 64-7019929978https://idr.nitk.ac.in/handle/123456789/26755George and Pareth( 2012), presented a quartically convergent Two Step Newton type method for approximately solving an ill-posed operator equation in the finite dimensional setting of Hilbert spaces. In this paper we use the analogous Two Step Newton type method to approximate a solution of ill-posed Hammerstein type operator equation.Adaptive methodsHammersteinIll posed problemMonotone operatorsQuartic convergenceTikhonov methodMathematical techniquesMathematical operatorsOn improving the semilocal convergence of newton-type iterative method for ill-posed Hammerstein type operator equations