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- Title
Stability of Quartic Functional Equation in Modular Spaces via Hyers and Fixed-Point Methods.
- Authors
Mohiuddine, Syed Abdul; Tamilvanan, Kandhasamy; Mursaleen, Mohammad; Alotaibi, Trad
- Abstract
In this work, we introduce a new type of generalised quartic functional equation and obtain the general solution. We then investigate the stability results by using the Hyers method in modular space for quartic functional equations without using the Fatou property, without using the Δ b -condition and without using both the Δ b -condition and the Fatou property. Moreover, we investigate the stability results for this functional equation with the help of a fixed-point technique involving the idea of the Fatou property in modular spaces. Furthermore, a suitable counter example is also demonstrated to prove the non-stability of a singular case.
- Subjects
QUARTIC equations; FUNCTIONAL equations
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 11, p1938
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10111938