Publication Type : Journal Article
Publisher : Springer Science and Business Media LLC
Source : Rendiconti del Circolo Matematico di Palermo Series 2
Url : https://doi.org/10.1007/s12215-026-01412-y
Campus : Amritapuri
School : School of Physical Sciences
Department : Mathematics
Year : 2026
Abstract : In this paper, we advance the convergence study of a sixth-order iterative scheme for solving nonlinear equations, initially investigated by Sharma et al. Unlike the original approach, which depends on derivatives up to the sixth order, our analysis is developed in a broader Banach space setting and avoids the use of Taylor expansions. Moreover, the presented framework establishes a precise and computable convergence radius, along with error estimates and results on the uniqueness and isolation of the solution.
Cite this Research Publication : Ioannis K. Argyros, C D Sreedeep, M Manasa, Extended Newton-Ozban method of order six for solving nonlinear equations, Rendiconti del Circolo Matematico di Palermo Series 2, Springer Science and Business Media LLC, 2026, https://doi.org/10.1007/s12215-026-01412-y