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Multiquartic functional equationsopen access
- Issue Date
- Aug-2019
- Publisher
- SPRINGEROPEN
- Keywords
- Banach space; Multiquartic mapping; Hyers-Ulam stability; Fixed point method
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v.2019, no.1, pp.1 - 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Volume
- 2019
- Number
- 1
- Start Page
- 1
- End Page
- 10
- ISSN
- 1687-1839
- Abstract
- 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.
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