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Additive functional inequalities in 2-Banach spaces
- Authors
- Park, Choonkil
- Issue Date
- Nov-2013
- Publisher
- Gordon and Breach Science Publishers
- Keywords
- Hyers-Ulam stability; linear 2-normed space; additive mapping; additive functional inequality; superstability
- Citation
- Journal of Inequalities and Applications, pp 1 - 10
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Inequalities and Applications
- Start Page
- 1
- End Page
- 10
- ISSN
- 1025-5834
1029-242X
- Abstract
- We prove the Hyers-Ulam stability of the Cauchy functional inequality and the Cauchy-Jensen functional inequality in 2-Banach spaces. Moreover, we prove the superstability of the Cauchy functional inequality and the Cauchy-Jensen functional inequality in 2-Banach spaces under some conditions.
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