Stability of a System of Euler-Lagrange Type Cubic Functional Equations in non-Archimedean 2-Normed Spaces

Document Type : Original Paper

Author

Department of mathematics, Shahid Chamran university of Ahvaz, Ahvaz, Iran.

Abstract

Freese and Cho have introduced the non-Archimedean 2-normed spaces and Eshaghi, et al. have introduced the Menger probabilistic non-Archimedean 2-normed spaces. In this paper, we prove the generalized Hyers-Ulam-Rassias stability for a system of Euler-Lagrange type cubic functional equations in the non-Archimedean 2-normed spaces. Also, we prove the generalized Hyers-Ulam-Rassias stability for this system in the Menger probabilistic non–Archimedean 2–normed spaces.

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Main Subjects


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