Quartic Functional Equation: Ulam-Type Stability in β,p-Banach Space and Non-Archimedean β-Normed Space

Ravinder Kumar Sharma, Sumit Chandok and G Muhiuddin

Journal of Mathematics, 2022, vol. 2022, 1-12

Abstract: 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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9908530

DOI: 10.1155/2022/9908530

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