Advances in Nonlinear Variational Inequalities Volume 25 (2022), Number 1, 49-58 Comparing and Extending Two Fourth Order Methods Under the Same Hypotheses for Equations

Argyros, I.K.George, S.Argyros, C.I.2026-02-042022Advances in Nonlinear Variational Inequalities, 2022, 25, 1, pp. 49-581092910Xhttps://idr.nitk.ac.in/handle/123456789/22826We compare and extend two fourth order methods for nonlinear equations. Our convergence analysis used assumptions only on the first derivative. Earlier studies have used hypotheses up to the fifth derivative, limiting the applicability of the method. Numerical examples complete the article. © 2022, International Publications. All rights reserved.Banach spaceConvergence orderIterative methodAdvances in Nonlinear Variational Inequalities Volume 25 (2022), Number 1, 49-58 Comparing and Extending Two Fourth Order Methods Under the Same Hypotheses for Equations