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Gateaux and Frechet Derivative In Neutrosophic Normed Linear Spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2023
In this study, we present the neutrosophic derivatives, the neutrosophic Gateaux derivative, and the neutrosophic Frechet derivative, and we examine some of their features. The relationship between the neutrophilic Frechet derivative and the neutrophilic
M. Jeyaraman   +3 more
doaj   +1 more source

Convergence Criteria of Three Step Schemes for Solving Equations

open access: yesMathematics, 2021
We develop a unified convergence analysis of three-step iterative schemes for solving nonlinear Banach space valued equations. The local convergence order has been shown before to be five on the finite dimensional Euclidean space assuming Taylor ...
Samundra Regmi   +3 more
doaj   +1 more source

A BALL COMPARISON BETWEEN EXTENDED MODIFIED JARRATT METHODS UNDER THE SAME SET OF CONDITIONS FOR SOLVING EQUATIONS AND SYSTEMS OF EQUATIONS

open access: yesПроблемы анализа, 2021
In this paper, we compare the radii of convergence of Jarratt-type methods under the same set of conditions for solving nonlinear equations and systems of equations.
I. K. Argyros, S. George, C. Argyros
doaj   +1 more source

Extended domain for fifth convergence order schemes

open access: yesCubo, 2021
We provide a local as well as a semi-local analysis of a fifth convergence order scheme involving operators valued on Banach space for solving nonlinear equations.
Ioannis K. Argyros, Santhosh George
doaj   +1 more source

Nonlinear operators between neutrosophic normed spaces and Fréchet differentiation

open access: yesJournal of Inequalities and Applications, 2022
The article focuses on the introduction of neutrosophic continuity and neutrosophic boundedness, which is a fair extension of intuitionistic fuzzy continuity and intuitionistic fuzzy boundedness, respectively.
Vakeel A. Khan, Mohammad Daud Khan
doaj   +1 more source

On the Semi-Local Convergence of a Third Order Scheme for Solving Nonlinear Equations

open access: yesEuropean Journal of Mathematical Analysis, 2022
The semi-local convergence analysis of a third order scheme for solving nonlinear equation in Banach space has not been given under Lipschitz continuity or other conditions.
Samundra Regmi   +3 more
doaj   +1 more source

An efficient bound for the condition number of the matrix exponential

open access: yesJournal of Taibah University for Science, 2017
A new bound for the condition number of the matrix exponential is presented. Using the bound, we propose an efficient approximation to the condition number, denoted by κg(s, X), that avoids the computation of the Fréchet derivative of the matrix ...
Awad H. Al-Mohy
doaj   +1 more source

On Global Convergence of Third-Order Chebyshev-Type Method under General Continuity Conditions

open access: yesFractal and Fractional, 2022
There are very few papers that talk about the global convergence of iterative methods with the help of Banach spaces. The main purpose of this paper is to discuss the global convergence of third order iterative method.
Fouad Othman Mallawi   +2 more
doaj   +1 more source

Parameterization of kernels of the Volterra series for systems given by nonlinear differential equations [PDF]

open access: yesE3S Web of Conferences, 2023
The presented article is devoted on an issue regarding to the transformation of nonlinear models of a certain class to the Volterra functional series. The new identification method based on analytical input and output of a system was developed.
Kislovskiy Evgeniy   +2 more
doaj   +1 more source

Local Convergence for Multi-Step High Order Solvers under Weak Conditions

open access: yesMathematics, 2020
Our aim in this article is to suggest an extended local convergence study for a class of multi-step solvers for nonlinear equations valued in a Banach space.
Ramandeep Behl, Ioannis K. Argyros
doaj   +1 more source

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