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Approximation of an additive-quadratic functional equation in RN-spaces
- Issue Date
- Nov-2012
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; Direct method; Random normed space; Fixed point method
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.14, no.7, pp.1190 - 1209
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 14
- Number
- 7
- Start Page
- 1190
- End Page
- 1209
- ISSN
- 1521-1398
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)