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

• Autorzy: Păcurar Mădălina

Identyfikatory

DOI

10.1515/dema-2022-0185

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

enriched Prešić operator; fixed point; global asymptotic stability; difference equation

PL

punkt stały; globalna stabilność asymptomatyczna; równanie różnicowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220185
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Păcurar Mădălina

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

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).