Jinny Ann John

Extended Local Convergence for the Chebyshev Method under the Majorant Condition

Ioannis K. Argyros, Jinny Ann John, Jayakumar Jayaraman & Samundra Regmi · Asian Research Journal of Mathematics · 2022

In this article, we present the study on local convergence behaviour of Chebyshev's method, which is a third order iterative method used to solve a non-linear system in Banach space locale. In contrast to the earlier works, we establish the convergence using restricted-majorant c...