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Multiquartic functional equations
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DOI：10.1186/s13662-019-2255-5.png)
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Abstract
En 中文
In this paper, we study n-variable mappings that are quartic in each variable. We show that the conditions defining such mappings can be unified in a single functional equation. Furthermore, we apply an alternative fixed point method to prove the Hyers-Ulam stability for the multiquartic functional equations in the normed spaces. We also prove that under some mild conditions, every approximately multiquartic mapping is a multiquartic mapping.
Keywords:
Banach space
Multiquartic mapping
Hyers-Ulam stability
Fixed point method
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