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 journalArticlepeer-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 languageEnglish
Pages (from-to)452-458
Number of pages7
JournalResults in Nonlinear Analysis
Volume5
Issue number4
DOIs
Publication statusPublished - 31-12-2022

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Geometry and Topology
  • Applied Mathematics

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