Bull. Korean Math. Soc. 2019; 56(3): 621-629
Online first article May 16, 2019 Printed May 31, 2019
https://doi.org/10.4134/BKMS.b180429
Copyright © The Korean Mathematical Society.
Ioannis K. Argyros, Yeol Je Cho, Santhosh George
Cameron University; University of Electronic Science and Technology of China; National Institute of Technology Karnataka
In this paper, we present a local convergence analysis of a three point method with convergence order 1.839$\dots$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.
Keywords: Banach space, three point method, divided difference of order one-two, radius of convergence, local convergence
MSC numbers: 65D10, 65D99, 65G99, 47H17, 49M15
-0001; 31(1): 139-145
2015; 52(3): 865-880
1999; 36(3): 565-578
2003; 40(4): 577-581
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd