Document Type : Research Paper

Authors

• M. Eshaghi Gordji ¹
• M. Naderi Parizi ²
• Th. M. Rassias ³

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

• Hyers Ulam Stability
• Real Non-Archimedean Banach Space
• Tribonacci Functional Equation