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Fixed Points and Stability of a Generalized Quadratic Functional Equation
- Authors
- Najati, Abbas; Park, Choonkil
- Issue Date
- Feb-2009
- Publisher
- Gordon and Breach Science Publishers
- Citation
- Journal of Inequalities and Applications, pp 1 - 19
- Pages
- 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Inequalities and Applications
- Start Page
- 1
- End Page
- 19
- ISSN
- 1025-5834
1029-242X
- Abstract
- Using the fixed point method, we prove the generalized Hyers-Ulam stability of the generalized quadratic functional equation f (rx + sy) = r(2)f (x) + s(2)f (y) + (rs/2) [f(x + y) - f (x - y)] in Banach modules, where r, s are nonzero rational numbers with r(2) + s(2) not equal 1.
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