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Functional equations and inequalities in paranormed spaces
- Authors
- Park, Choonkil; Lee, Jung Rye
- Issue Date
- Apr-2013
- Publisher
- Gordon and Breach Science Publishers
- Keywords
- Jordan-von Neumann functional equation; Hyers-Ulam stability; paranormed space; fixed point; functional equation; functional inequality
- Citation
- Journal of Inequalities and Applications, pp 1 - 23
- Pages
- 23
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Inequalities and Applications
- Start Page
- 1
- End Page
- 23
- ISSN
- 1025-5834
1029-242X
- Abstract
- Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of an additive functional equation, a quadratic functional equation, a cubic functional equation and a quartic functional equation in paranormed spaces. Furthermore, we prove the Hyers-Ulam stability of functional inequalities in paranormed spaces by using the fixed point method and the direct method.
- Appears in
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