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Approximately additive mappings over p-adic fields
- Issue Date
- Mar-2008
- Publisher
- 충청수학회
- Keywords
- Hyers--Ulam--Rassias stability; additive mapping; $p$-adic field
- Citation
- 충청수학회지, v.21, no.1, pp 1 - 14
- Pages
- 14
- Indexed
- KCI
- Journal Title
- 충청수학회지
- Volume
- 21
- Number
- 1
- Start Page
- 1
- End Page
- 14
- ISSN
- 1226-3524
2383-6245
- Abstract
- In this paper, we prove the Hyers-Ulam-Rassias stability of the Cauchy functional equation f(x+y) = f(x)+f(y) and of the Jensen functional equation 2f(x+y2)=f(x)+f(y) over the p-adic field Qp. The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias' stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300.
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