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Hyers-Ulam stability of additive set-valued functional equations
- Title
- Hyers-Ulam stability of additive set-valued functional equations
- Author
- 박춘길
- Keywords
- Hyers-Ulam stability; Additive set-valued functional equation; Closed and convex subset; Cone
- Issue Date
- 2011-08
- Publisher
- Elsevier Science LTD
- Citation
- Applied Mathematics Letters, 2011, 24(8), P.1312-1316
- 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. (C) 2011 Elsevier Ltd. All rights reserved.
- URI
- https://www.sciencedirect.com/science/article/pii/S0893965911000966?via%3Dihubhttp://hdl.handle.net/20.500.11754/66859
- ISSN
- 0893-9659
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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