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The Stability of a Quadratic Functional Equation with the Fixed Point Alternative
- Authors
- Park, Choonkil; Kim, Ji-Hye
- Issue Date
- Jan-2010
- Publisher
- Hindawi Publishing Corporation
- Citation
- Abstract and Applied Analysis, v.2009, pp 1 - 12
- Pages
- 12
- Indexed
- SCIE
SCOPUS
- Journal Title
- Abstract and Applied Analysis
- Volume
- 2009
- Start Page
- 1
- End Page
- 12
- ISSN
- 1085-3375
1687-0409
- Abstract
- Lee, An and Park introduced the quadratic functional equation f(2x+y) + f(2x-y) = 8f(x) + 2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias. Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation in Banach spaces.
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