Local convergence of a novel eighth order method under hypotheses only on the first derivative

Ioannis K. Argyros, Santhosh George, Shobha M. Erappa

Research output: Contribution to journalArticle


We expand the applicability of eighth order-iterative method stud- ied by Jaiswal in order to approximate a locally unique solution of an equation in Banach space setting. We provide a local convergence analysis using only hypotheses on the first Frechet-derivative. Moreover, we provide computable convergence radii, error bounds, and uniqueness results. Numerical examples computing the radii of the convergence balls as well as examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

Original languageEnglish
Pages (from-to)96-107
Number of pages12
JournalKhayyam Journal of Mathematics
Issue number2
Publication statusPublished - 01-01-2019
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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