Original scientific paper

Stability of Fréchet functional equation in non-Archimedean normed spaces

Alireza Kamel Mirmostafaee ; Center of Excellence in Analysis on Algebraic Structures, Department of Pure Mathematics,Ferdowsi University of Mashhad, Mashhad, Iran

Abstract

We will establish stability of Fréchet functional equation
$$\Delta_{x_1, \dots, x_n}^nf(y)= 0$$ in non-Archimedean normed spaces for some unbounded control function. Among some applications of our results, we will give a counterexample to show that the nature of stability in non-Archimedean normed spaces is different from one in classical normed spaces.

Keywords

Fréchet functional equation; stability; non-Archimedean normed spaces

Hrčak ID:

93283

URI

https://hrcak.srce.hr/93283

Publication date:

5.12.2012.

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