The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

The Stability of a Quadratic Functional Equation with the Fixed Point Alternative

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 functi...

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Veröffentlicht in:Abstract and Applied Analysis 2009-01, Vol.2009 (2009), p.1112-1122
Hauptverfasser: Park, Choonkil, Kim, Ji-Hye
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Mathematical models
Mathematics
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Zusammenfassung: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2009/907167