On the local convergence of a third-order iterative scheme in Banach spaces
type: Item
instance of: scholarly article
title: On the local convergence of a third-order iterative scheme in Banach spaces
author: Debasis Sharma
author: S. K. Parhi
publication date: 2021-05-04T00:00:00Z
Mathematics Subject Classification ID: 47H99
Mathematics Subject Classification ID: 49M15
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65D99
Mathematics Subject Classification ID: 65G99
zbMATH DE Number: 7343267
zbMATH Keywords: local convergence
zbMATH Keywords: iterative schemes
zbMATH Keywords: Banach space
zbMATH Keywords: Lipschitz continuity condition
zbMATH Keywords: Hölder continuity condition
MaRDI profile type: Publication
full work available at URL: s12215-020-00500-x
OpenAlex ID: W3087948608
cites work: A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
cites work: Local convergence of deformed Halley method in Banach space under Holder continuity conditions
cites work: Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
cites work: Local convergence of modified Halley-like methods
cites work: Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces
cites work: Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
cites work: On the local convergence study for an efficient \(k\)-step iterative method
cites work: On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
cites work: Local convergence of two competing third order methods in Banach space
cites work: Local convergence for some third-order iterative methods under weak conditions
cites work: On the local convergence of modified Weerakoon's method in Banach spaces
cites work: Q5263654
cites work: Some iterative methods for solving a system of nonlinear equations
cites work: Convergence and Applications of Newton-type Iterations
cites work: Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications
cites work: Q5326192
cites work: Q3932219
cites work: Q5732060
DOI: 10.1007/S12215-020-00500-X
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 7343267