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Approximation of an additive-quadratic functional equation in RN-spaces
- Title
- Approximation of an additive-quadratic functional equation in RN-spaces
- Author
- 박춘길
- Keywords
- Hyers-Ulam stability; Direct method; Random normed space; Fixed point method; ULAM-RASSIAS STABILITY; C-ASTERISK-ALGEBRAS; MAPPINGS
- Issue Date
- 2012-11
- Publisher
- EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS; NOV 2012, 14 7, p1190-p1209, 20p.
- Abstract
- In this paper, using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation:af (x+y+z/b) + af (x-y+z/b) + af (x+y-z/b) + af (-x+y+z/b) = cf(x) + cf(y) + cf(z)where a, b and c are positive real numbers, in random normed spaces.
- URI
- http://www.ndsl.kr/ndsl/search/detail/article/articleSearchResultDetail.do?cn=NART73201923http://hdl.handle.net/20.500.11754/42961
- ISSN
- 1521-1398
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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