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

Autor: Păcurar Mădălina
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Demonstratio Mathematica, Vol 56, Iss 1, Pp 75-78 (2023)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2022-0185
Popis: 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.
Databáze: Directory of Open Access Journals