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Functional inequalities in non-Archimedean normed spaces
- Authors
- Park, Choonkil
- Issue Date
- Mar-2015
- Publisher
- Springer Verlag
- Keywords
- Jordan-von Neumann functional equation; non-Archimedean normed space; Banach space; Hyers-Ulam stability; functional inequality
- Citation
- Acta Mathematica Sinica, English Series, v.31, no.3, pp 353 - 366
- Pages
- 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- Acta Mathematica Sinica, English Series
- Volume
- 31
- Number
- 3
- Start Page
- 353
- End Page
- 366
- ISSN
- 1439-8516
1439-7617
- Abstract
- In this paper, we introduce an additive functional inequality and a quadratic functional inequality in normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in Banach spaces. Furthermore, we introduce an additive functional inequality and a quadratic functional inequality in non-Archimedean normed spaces, and prove the Hyers-Ulam stability of the functional inequalities in non-Archimedean Banach spaces.
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