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Stability of functional equations of <Emphasis Type="Italic">n</Emphasis>-Apollonius type in fuzzy ternary Banach algebras
Authors:Zhihua Wang  Prasanna K Sahoo
Institution:1.School of Science,Hubei University of Technology,Wuhan,China;2.Department of Mathematics,University of Louisville,Louisville,USA
Abstract:
Using the fixed point method, we investigate the generalized Hyers–Ulam stability of the ternary homomorphisms and ternary derivations between fuzzy ternary Banach algebras for the additive functional equation of n-Apollonius type, namely
$${\sum_{i=1}^{n} f(z-x_{i}) = -\frac{1}{n} \sum_{1 \leq i < j \leq n} f(x_{i}+x_{j}) + n f (z-\frac{1}{n^{2}} \sum_{i=1}^{n}x_{i}),}$$
where \({n \geq 2}\) is a fixed positive integer.
Keywords:
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