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arxiv: 0903.0842 · v1 · submitted 2009-03-04 · 🧮 math.FA

Fuzzy stability of additive--quadratic functional equations

classification 🧮 math.FA
keywords functionalfuzzystabilityadditive--quadraticbanachequationequationsgeneralized
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In this paper we investigate the generalized Hyers- Ulam stability of the functional equation $$f (2x +y)+f (2x -y)= f (x + y)+ f (x -y)+2f (2x)-2f (x)$$ in fuzzy Banach spaces.

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