Semilocal convergence analysis of Convex acceleration Newton's method under majorant condition in Banach space

P. K. Parida; Shwet Nisha; A. K.  Singh

doi:10.5269/bspm.66874

Semilocal convergence analysis of Convex acceleration Newton's method under majorant condition in Banach space

Semilocal convergence analysis of Convex acceleration Newton's method

P. K. Parida Assistant Professor Department of Mathematics Central University Jharkhana, INDIA
Shwet Nisha Department of Mathematics, Gaya College of Engineering, Gaya-823003, India
A. K. Singh Department of Mathematics, Cambridge Institute of Technology, Ranchi-835103, India

DOI: https://doi.org/10.5269/bspm.66874

Abstract

This paper is devoted to give the semilocal convergence analysis of Convex acceleration Newton's method under majorant condition for solving nonlinear operator equation in Banach space. We have illustrated two numerical examples based on our analysis approach with comparison to show the efficacy of our result.

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Author Biographies

Shwet Nisha, Department of Mathematics, Gaya College of Engineering, Gaya-823003, India

Department of Mathematics, Gaya College of Engineering, Gaya-823003, India

A. K. Singh, Department of Mathematics, Cambridge Institute of Technology, Ranchi-835103, India

Department of Mathematics, Cambridge Institute of Technology, Ranchi-835103, India

Published

2025-05-28

Issue

Vol 43 (2025)

Section

Articles

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