Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi-Euler-Lagrange quadratic functional equation....
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3021457 |
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| author | Abasalt Bodaghi Hossein Moshtagh Amir Mousivand |
| author_facet | Abasalt Bodaghi Hossein Moshtagh Amir Mousivand |
| author_sort | Abasalt Bodaghi |
| collection | DOAJ |
| description | The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi-Euler-Lagrange quadratic functional equation. Moreover, some results corresponding to known stability (Hyers, Rassias, and Gӑvruta) outcomes regarding the multi-Euler-Lagrange quadratic functional equation are presented in quasi-β-normed and Banach spaces by using the fixed point methods. Lastly, an example for the nonstable multi-Euler-Lagrange quadratic functional equation is indicated. |
| format | Article |
| id | doaj-art-1f2fcb3ffa6f47c5b33a51510ffd5d87 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-1f2fcb3ffa6f47c5b33a51510ffd5d872025-08-20T03:54:36ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3021457Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional EquationsAbasalt Bodaghi0Hossein Moshtagh1Amir Mousivand2Department of MathematicsDepartment of Computer ScienceDepartment of MathematicsThe aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi-Euler-Lagrange quadratic functional equation. Moreover, some results corresponding to known stability (Hyers, Rassias, and Gӑvruta) outcomes regarding the multi-Euler-Lagrange quadratic functional equation are presented in quasi-β-normed and Banach spaces by using the fixed point methods. Lastly, an example for the nonstable multi-Euler-Lagrange quadratic functional equation is indicated.http://dx.doi.org/10.1155/2022/3021457 |
| spellingShingle | Abasalt Bodaghi Hossein Moshtagh Amir Mousivand Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations Journal of Function Spaces |
| title | Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations |
| title_full | Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations |
| title_fullStr | Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations |
| title_full_unstemmed | Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations |
| title_short | Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations |
| title_sort | characterization and stability of multi euler lagrange quadratic functional equations |
| url | http://dx.doi.org/10.1155/2022/3021457 |
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