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 : R 􀀀! X where X is a real non-archimedean Banach space.

Keywords