On the convergence of a novel seventh convergence order schemes for solving equations

被引：0
作者：
Samundra Regmi
Ioannis K. Argyros
Santhosh George
Christopher I. Argyros
机构：
[1] University of North Texas at Dallas,Learning Commons
[2] Cameron University,Department of Mathematical Sciences
[3] National Institute of Technology Karnataka,Department of Mathematical and Computational Sciences
[4] Cameron University,Department of Computing and Technology
来源：
The Journal of Analysis | 2022年 / 30卷
关键词：
Banach space; Convergence order; Iterative scheme; 65J20; 49M15; 74G20; 41A25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the local convergence of a seventh order scheme for solving nonlinear equations for Banach space valued equations. This is done by using assumptions only on the first derivative that does appear on the schemes, whereas in earlier works up to the eighth derivative (not on the scheme) are used to establish the convergence (not on the scheme). Our technique is so general that it can be used to extend the usage of other schemes along the same lines.
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页码：941 / 958
页数：17
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