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Hyers-Ulam stability of a generalized additive set-valued functional equation
- Title
- Hyers-Ulam stability of a generalized additive set-valued functional equation
- Author
- 박춘길
- Keywords
- Hyers Ulam stability; generalized additive set valued functional equation; closed and convex set; cone
- Issue Date
- 2013-03
- Publisher
- Springer International Publishing AG
- Citation
- Journal of Inequalities and Applications, 2013, 2013(1), P.1-6
- Abstract
- In this paper, we define a generalized additive set-valued functional equation, which is related to the following generalized additive functional equation:f(x1+?+xl)=(l?1)f(x1+?+xl?1l?1)+f(xl)for a fixed integer l with l>1, and prove the Hyers-Ulam stability of the generalized additive set-valued functional equation.
- URI
- https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-101http://hdl.handle.net/20.500.11754/54983
- ISSN
- 1029-242X
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
- Files in This Item:
- 1029-242X-2013-101.pdfDownload
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