### Solution and stability of Tribonacci functional equation in non-Archimedean Banach spaces

Authors

1 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran.

2 Payame Noor University, Rafsanjan, Iran.

3 Department of Mathematics, National Technical University of Athens, Greece

Abstract

In this paper, we prove Hyers{Ulam stability of Tribonacci functional equation
$$f(x) = f(x - 1) + f(x - 2) + f(x - 3)$$
in the class of functions $f : \mathbb{R} \to X$ where $X$ is a real non-Archimedean Banach space.

Keywords