Title : ( APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
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Abstract
We establish a new strategy to study the Hyers-Ulam-Rassias stability of the Cauchy and Jensen equations in non-Archimedean normed spaces. We will also show that under some restrictions, every function which satisfies certain inequalities can be approximated by an additive mapping in non-Archimedean normed spaces. Some applications of our results will be exhibited. In particular, we will see that some results about stability and additive mappings in real normed spaces are not valid in non-Archimedean normed spaces.
Keywords
, Hyers-Ulam-Rassias stability, Cauchy equation, Jensen equation
@article{paperid:1009856,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES},
journal = {Bulletin of the Korean Mathematical Society },
year = {2009},
volume = {46},
number = {2},
month = {May},
issn = {1015-8634},
pages = {387--400},
numpages = {13},
keywords = {Hyers-Ulam-Rassias stability; Cauchy equation; Jensen equation},
}
%0 Journal Article
%T APPROXIMATELY ADDITIVE MAPPINGS IN NON-ARCHIMEDEAN NORMED SPACES
%A Kamel Mirmostafaee, Seyyed Alireza
%J Bulletin of the Korean Mathematical Society
%@ 1015-8634
%D 2009
