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Functional equations and inequalities in paranormed spacesopen access
- Authors
- Park, Choonkil; Lee, Jung Rye
- Issue Date
- Apr-2013
- Publisher
- SPRINGEROPEN
- 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
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Start Page
- 1
- End Page
- 23
- ISSN
- 1025-5834
- 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
Collections - 서울 자연과학대학 > 서울 수학과 > 1. Journal Articles
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)