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Hyers-Ulam stability of an additive set-valued functional equation
- Authors
- Lu, Gang; Xie, Jun; Park, Choonkil; Jin, Yuanfeng
- Issue Date
- Mar-2018
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; additive set-valued functional equation; closed and convex subset; cone
- Citation
- Journal of Computational Analysis and Applications, v.24, no.3, pp 556 - 560
- Pages
- 5
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 24
- Number
- 3
- Start Page
- 556
- End Page
- 560
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, we define the following additive set-valued functional equation f(2x + 3y − z) + f(2y + 3z − x) + f(3x + 2z − y) = f(x + y) + f(y + z) + f(x + z) + f(2x) + f(2y) + f(2z) (1) and prove the Hyers-Ulam stability of the above additive set-valued functional equation.
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