Approximately additive mappings over p-adic fields
- Authors
- Park, Choonkil; Boo, Deok-Hoon; Rassias, Themistocles M.
- 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
- Indexed
- KCI
- Journal Title
- 충청수학회지
- Volume
- 21
- Number
- 1
- Start Page
- 1
- End Page
- 14
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/178866
- ISSN
- 1226-3524
- 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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