Article ID Journal Published Year Pages File Type
395019 Information Sciences 2008 8 Pages PDF
Abstract

We establish some stability results concerning the cubic functional equationf(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)in fuzzy normed spaces. We discuss the fuzzy continuity of the cubic mappings and show that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed space.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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