Copyright © 2010 M. Eshaghi Gordji et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We introduce two reasonable versions of approximately additive
functions in a Šerstnev probabilistic normed space endowed
with triangle function. More precisely, we show under
some suitable conditions that an approximately additive function
can be approximated by an additive mapping in above mentioned