Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators
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...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-01-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2022-0185 |
| _version_ | 1811171902861869056 |
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| author | Păcurar Mădălina |
| author_facet | Păcurar Mădălina |
| author_sort | Păcurar Mădălina |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T17:23:01Z |
| format | Article |
| id | doaj.art-b666dfa30249429e89887d114bd29456 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-10T17:23:01Z |
| publishDate | 2023-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-b666dfa30249429e89887d114bd294562023-02-05T08:30:37ZengDe GruyterDemonstratio Mathematica2391-46612023-01-01561757810.1515/dema-2022-0185Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operatorsPăcurar Mădălina0Faculty of Economics and Business Administration, Babeș-Bolyai University, T. Mihali 58-60, 400591 Cluj-Napoca, RomaniaWe 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.https://doi.org/10.1515/dema-2022-0185enriched prešić operatorfixed pointglobal asymptotic stabilitydifference equation54h2547h10 |
| spellingShingle | Păcurar Mădălina Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators Demonstratio Mathematica enriched prešić operator fixed point global asymptotic stability difference equation 54h25 47h10 |
| title | Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators |
| title_full | Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators |
| title_fullStr | Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators |
| title_full_unstemmed | Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators |
| title_short | Asymptotic stability of equilibria for difference equations via fixed points of enriched Prešić operators |
| title_sort | asymptotic stability of equilibria for difference equations via fixed points of enriched presic operators |
| topic | enriched prešić operator fixed point global asymptotic stability difference equation 54h25 47h10 |
| url | https://doi.org/10.1515/dema-2022-0185 |
| work_keys_str_mv | AT pacurarmadalina asymptoticstabilityofequilibriafordifferenceequationsviafixedpointsofenrichedpresicoperators |