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Hyers-Ulam stability of additive set-valued functional equationsopen access
- Authors
- Lu, Gang; Park, Choonkil
- Issue Date
- Aug-2011
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Hyers-Ulam stability; Additive set-valued functional equation; Closed and convex subset; Cone
- Citation
- APPLIED MATHEMATICS LETTERS, v.24, no.8, pp.1312 - 1316
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS LETTERS
- Volume
- 24
- Number
- 8
- Start Page
- 1312
- End Page
- 1316
- ISSN
- 0893-9659
- Abstract
- In this paper, we define the following additive set-valued functional equations f(alpha chi + beta y) = rf (chi) sf (y), (1) f(x + y + z) = 2f (x + y/2) + f(z) (2) for some real numbers alpha > 0, beta > 0, r, s is an element of R with alpha + beta = r + s not equal 1, and prove the Hyers-Ulam stability of the above additive set-valued functional equations.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)