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Additive and quadratic functional in equalities in non-archimedean normed spaces
- Authors
- Lee, Jung Rye; Park, Choon kil; Shin, Dong Yun
- Issue Date
- Aug-2014
- Publisher
- Hikari Ltd.
- Keywords
- Banach space; Functional inequality; Hyers-ulam stability; Jordan-von neumann functional equation; Non-archimedean normed space
- Citation
- International Journal of Mathematical Analysis, v.8, no.25-28, pp 1233 - 1247
- Pages
- 15
- Indexed
- SCOPUS
- Journal Title
- International Journal of Mathematical Analysis
- Volume
- 8
- Number
- 25-28
- Start Page
- 1233
- End Page
- 1247
- ISSN
- 1312-8876
- Abstract
- In this paper, we solve the additive functional inequality and the quadratic functional inequality in normed spaces.Moreover, we prove the Hyers-Ulam stability of the functional inequalities (1) and (2) in Banach spaces. Furthermore, we investigate the additive functional inequality in non-Archimedean normed spaces. Moreover, we prove the Hyers-Ulam stability of the functional inequalities (3) and (4) in non-Archimedean Banach spaces.
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