Generalized Hyers-Ulam Stability of Quadratic Functional Equations: A Fixed Point Approach

Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces.

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Detalles Bibliográficos
Autor principal: Choonkil Park
Formato: article
Lenguaje:EN
Publicado: SpringerOpen 2008
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Acceso en línea:https://doaj.org/article/524104ebb2de45ea8048865931a3ec41
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Sumario:Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadratic functional equation f(2x+y)=4f(x)+f(y)+f(x+y)−f(x−y) in Banach spaces.