Convergence of Steffensen’s method in Riemannian manifolds

Authors

  • P.K. Parida Central University of Jharkhand, India
  • C. Prasad Central University of Jharkhand, India

DOI:

https://doi.org/10.31926/but.mif.2026.6.68.1.13

Keywords:

vector fields, Riemannian manifolds, Lipschitz condition, Steffensen’s method

Abstract

The main purpose of this article is to establish the semilocal convergence analysis of Steffensen’s method in Riemannian manifolds. We establish the semilocal convergence analysis of Steffensen’s method in Riemannian manifolds by using the majorant principle. Finally, some examples are presented to verify the convergence criteria.

Author Biographies

P.K. Parida, Central University of Jharkhand, India

Department of Mathematics, Ranchi - 835222

C. Prasad, Central University of Jharkhand, India

Department of Mathematics, Ranchi - 835222

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Published

2026-06-23

Issue

Vol. 6(68) No. 1 (2026)

Section

MATHEMATICS