On a novel seventh convergence order method for solving nonlinear equations and its extensions

被引：0

作者：

Regmi, Samundra ^{[1
]}

Argyros, Ioannis K. ^{[2
]}

George, Santhosh ^{[3
]}

Argyros, Christopher ^{[4
]}

机构：

[1] Univ North Texas Dallas, Learning Commons, Dallas, TX USA

[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[3] Natl Inst Technol Karnataka, Dept Math & Computat Sci, Mangalore, India

[4] Cameron Univ, Dept Comp & Technol, Lawton, OK 73505 USA

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 11期

关键词：

Banach space; convergence order; iterative scheme; SYSTEMS; FAMILY;

D O I：

10.1142/S1793557122501911

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the applicability of a novel seventh-order method for solving nonlinear equations in the setting of Banach spaces. This is done by using assumptions only on the first derivative that does appear on the method, whereas in earlier works up to the eighth derivatives (not on the scheme) were used to establish the convergence. Our technique is so general that it can be used to extend the usage of other schemes along the same lines.

引用

页数：10

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