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Functional equations and inequalities in paranormed spaces
- Title
- Functional equations and inequalities in paranormed spaces
- Author
- 박춘길
- Keywords
- Jordan-von Neumann functional equation; Hyers-Ulam stability; paranormed space; fixed point; functional equation; functional inequality
- Issue Date
- 2013-04
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013(198), p1-23
- 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.
- URI
- https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-198http://hdl.handle.net/20.500.11754/49950
- ISSN
- 1029-242X
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- 1029-242X-2013-198.pdfDownload
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