Abstract
In this paper, the authors investigate the general solution and generalized Hyers–Ulam stability of the n-dimensional quartic functional equation of the form
where n is a positive integer with \({\mathbb {N}}- \{0,1,2,3,4\}\). The stability of this quartic functional equation is introduced in Banach space using direct and fixed point methods.
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This work was completed with the support of our TeX-pert. The publication was supported by the Ministry of Education and Science of the Russian Federation (the agreement number N.02.a03.21.0008).
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Pinelas, S., Govindan, V. & Tamilvanan, K. Stability of a quartic functional equation. J. Fixed Point Theory Appl. 20, 148 (2018). https://doi.org/10.1007/s11784-018-0629-z
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DOI: https://doi.org/10.1007/s11784-018-0629-z