Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space
In this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation gu+mv+gu−mv=2m−17m−9gu+2m2−1m2gv−m−12g2u+m2gu+v+gu−v, with a fixed positive integer m/ge2 in the context of β,p-Banach space. In non-Ar...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/9908530 |
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| author | Ravinder Kumar Sharma Sumit Chandok |
| author_facet | Ravinder Kumar Sharma Sumit Chandok |
| author_sort | Ravinder Kumar Sharma |
| collection | DOAJ |
| description | In this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation gu+mv+gu−mv=2m−17m−9gu+2m2−1m2gv−m−12g2u+m2gu+v+gu−v, with a fixed positive integer m/ge2 in the context of β,p-Banach space. In non-Archimedean β-normed space, we also verify Hyers–Ulam stability for the quartic functional equation stated. Many of the findings in the literature are improved and generalized by our findings. |
| format | Article |
| id | doaj-art-d78166c1b4a74a9b8a7ecbc31865eadd |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d78166c1b4a74a9b8a7ecbc31865eadd2025-02-03T05:53:50ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/9908530Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed SpaceRavinder Kumar Sharma0Sumit Chandok1School of MathematicsSchool of MathematicsIn this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers–Ulam stability of the quartic functional equation gu+mv+gu−mv=2m−17m−9gu+2m2−1m2gv−m−12g2u+m2gu+v+gu−v, with a fixed positive integer m/ge2 in the context of β,p-Banach space. In non-Archimedean β-normed space, we also verify Hyers–Ulam stability for the quartic functional equation stated. Many of the findings in the literature are improved and generalized by our findings.http://dx.doi.org/10.1155/2022/9908530 |
| spellingShingle | Ravinder Kumar Sharma Sumit Chandok Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space Journal of Mathematics |
| title | Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space |
| title_full | Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space |
| title_fullStr | Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space |
| title_full_unstemmed | Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space |
| title_short | Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space |
| title_sort | quartic functional equation ulam type stability in β p banach space and non archimedean β normed space |
| url | http://dx.doi.org/10.1155/2022/9908530 |
| work_keys_str_mv | AT ravinderkumarsharma quarticfunctionalequationulamtypestabilityinbpbanachspaceandnonarchimedeanbnormedspace AT sumitchandok quarticfunctionalequationulamtypestabilityinbpbanachspaceandnonarchimedeanbnormedspace |