Title : ( Non-Archimedean Stability of the Monomial Functional Equations )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
We study the stability of the monomial functional equation Delta^n_x f(y) = n!f(x) in non-Archimedean spaces in the spirit of Hyers-Ulam-Rassias-Gavruta. We will give an example to show that some results in the stability of monomial equations in real normed spaces are not valid in non- Archimedean normed spaces.
Keywords
, Monomial functional equation, Fixed point alternative, Hyers-Ulam-Rassias stability, non-Archimedean normed space.
@article{paperid:1016618,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {Non-Archimedean Stability of the Monomial Functional Equations},
journal = {Tamsui Oxford Journal of Mathematical Sciences-TOJMS},
year = {2010},
volume = {26},
number = {2},
month = {July},
issn = {1561-8307},
pages = {221--235},
numpages = {14},
keywords = {Monomial functional equation; Fixed point alternative; Hyers-Ulam-Rassias stability; non-Archimedean normed space.},
}
%0 Journal Article
%T Non-Archimedean Stability of the Monomial Functional Equations
%A Kamel Mirmostafaee, Seyyed Alireza
%J Tamsui Oxford Journal of Mathematical Sciences-TOJMS
%@ 1561-8307
%D 2010
