### On the stability of Fibonacci like functional equation $f(x)=f(x-1)+f(x-5)$ in non-Archimedean 2-normed spaces

*Madjid Eshaghi Gordji, Javad Saeidi, John Rassias*

#### Abstract

We prove the Hyers--Ulam stability of Fibonacci like functional

equation

$$f(x)=f(x-1)+f(x-5)$$

where $f:\BR\lo X$ is a function and $X$ is defined as a real

non-Archimedean 2-Banach space.

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|ISSN 1686-0209|