Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators-Reference-Cited by-同舟云学术

Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Păcurar Mădălina¹

Affiliation:

1. Faculty of Economics and Business Administration, Babeș-Bolyai University, T. Mihali 58-60 , 400591 Cluj-Napoca , Romania

Abstract

Abstract We introduced a new general class of Prešić-type operators, by enriching the known class of Prešić contractions. We established conditions under which enriched Prešić operators possess a unique fixed point, proving the convergence of two different iterative methods to the fixed point. We also gave a data dependence result that was finally applied in proving the global asymptotic stability of the equilibrium of a certain k-th order difference equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0185/pdf

Reference35 articles.

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