System of AQC functional equations in non-Archimedean normed spaces

Journal of Linear and Topological Algebra

مقاله 4، دوره 08، شماره 01، اردیبهشت 2019، صفحه 41-52   

نوع مقاله: Research Paper

نویسنده

H. Majani^*

Department of Mathematics‎, ‎Shahid Chamran University of Ahvaz‎, ‎Ahvaz‎, ‎Iran

چکیده

‎In 1897‎, ‎Hensel introduced a normed space which does‎ ‎not have the Archimedean property‎. ‎During the last three decades‎ ‎theory of non--Archimedean spaces has gained the interest of‎ ‎physicists for their research in particular in problems coming‎ ‎from quantum physics‎, ‎p--adic strings and superstrings‎. ‎In this paper‎, ‎we prove‎ ‎the generalized Hyers--Ulam--Rassias stability for a‎ ‎system of additive‎, ‎quadratic and cubic functional equations in‎ ‎non--Archimedean normed spaces‎.

کلیدواژه‌ها

Additive‎؛ ‎quadratic‎, ‎cubic‎, ‎functional equation‎؛ ‎non--Archimedean spaces‎؛ ‎generalized Hyers--Ulam--Rassias stability

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