Výsledky vyhledávání - "Christopher Argyros"

Akademický článek

Extended Comparative Study between Newton’s and Steffensen-like Methods with Applications

Autor: Ioannis K. Argyros, Christopher Argyros, Johan Ceballos, Daniel González

Publikováno v: Mathematics, Vol 10, Iss 16, p 2851 (2022)

Comparisons between Newton’s and Steffensen-like methods are given for solving systems of equations as well as Banach space valued equations. Our idea of the restricted convergence domain is used to compare the sufficient convergence criteria of th

Externí odkaz: https://doaj.org/article/fcf8919b0eb44f0db1203f5d64c9a666

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Akademický článek

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

Autor: Samundra Regmi, Ioannis K. Argyros, Santhosh George, Christopher Argyros

Publikováno v: European Journal of Mathematical Analysis, Vol 2, Pp 13-13 (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. Our goal is to extend the applicability of the Cordero-Torregrosa scheme in

Externí odkaz: https://doaj.org/article/24cc0f4c0cb74a78b4dcf6b8f074bc17

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Akademický článek

On the Local Convergence of Two-Step Newton Type Method in Banach Spaces under Generalized Lipschitz Conditions

Autor: Akanksha Saxena, Ioannis K. Argyros, Jai P. Jaiswal, Christopher Argyros, Kamal R. Pardasani

Publikováno v: Mathematics, Vol 9, Iss 6, p 669 (2021)

The motive of this paper is to discuss the local convergence of a two-step Newton-type method of convergence rate three for solving nonlinear equations in Banach spaces. It is assumed that the first order derivative of nonlinear operator satisfies th

Externí odkaz: https://doaj.org/article/f7bf854e0d3e44eabf08f547cb46a197

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Akademický článek

Geometrically Constructed Family of the Simple Fixed Point Iteration Method

Autor: Vinay Kanwar, Puneet Sharma, Ioannis K. Argyros, Ramandeep Behl, Christopher Argyros, Ali Ahmadian, Mehdi Salimi

Publikováno v: Mathematics, Vol 9, Iss 6, p 694 (2021)

This study presents a new one-parameter family of the well-known fixed point iteration method for solving nonlinear equations numerically. The proposed family is derived by implementing approximation through a straight line. The presence of an arbitr

Externí odkaz: https://doaj.org/article/c43a58561c21486fa34ae1831220824e

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Extending the Traub Theory for Solving Nonlinear Equations

Autor: Samundra Regmi, null Ioannis K. Argyros, Santhosh George, Christopher Argyros

Publikováno v: Contemporary Mathematics. :217-231

In this paper, we extend the Traub theory for solving nonlinear equation. The extension is based on recurrent functions, the center Lipschitz condition and the notion of the restricted convergence domain. Numerical examples indicate that the new resu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::802605103c930f159417ec2777a623a3
https://doi.org/10.37256/cm.3220221471

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