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Hyers-Ulam stability of a generalized additive set-valued functional equationopen access
- Authors
- Jang, Sun Young; Park, Choonkil; Cho, Young
- Issue Date
- Mar-2013
- Publisher
- SPRINGEROPEN
- Keywords
- Hyers-Ulam stability; generalized additive set-valued functional equation; closed and convex set; cone
- Citation
- JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 6
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF INEQUALITIES AND APPLICATIONS
- Start Page
- 1
- End Page
- 6
- ISSN
- 1025-5834
- Abstract
- In this paper, we define a generalized additive set-valued functional equation, which is related to the following generalized additive functional equation: f(x(1) + ... + x(l)) = (l-1)f(x(1) + ... + x(l-1)/l-1) + f(x(l)) for a fixed integer l with l > 1, and prove the Hyers-Ulam stability of the generalized additive set-valued functional equation.
- 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)