On the convergence of the sixth order Homeier like method in Banach spaces

P. B. Suma; Shobha M. Erappa; Santhosh George

doi:10.53006/rna.1138201

On the convergence of the sixth order Homeier like method in Banach spaces

P. B. Suma, Shobha M. Erappa, Santhosh George

Research output: Contribution to journal › Article › peer-review

Abstract

A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

Original language	English
Pages (from-to)	452-458
Number of pages	7
Journal	Results in Nonlinear Analysis
Volume	5
Issue number	4
DOIs	https://doi.org/10.53006/rna.1138201
Publication status	Published - 31-12-2022

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Geometry and Topology
Applied Mathematics

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title = "On the convergence of the sixth order Homeier like method in Banach spaces",

abstract = "A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.",

author = "Suma, {P. B.} and Erappa, {Shobha M.} and Santhosh George",

year = "2022",

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AU - Erappa, Shobha M.

AU - George, Santhosh

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Y1 - 2022/12/31

N2 - A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

AB - A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

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JO - Results in Nonlinear Analysis

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On the convergence of the sixth order Homeier like method in Banach spaces

Abstract

All Science Journal Classification (ASJC) codes

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