Title : ( The quadratic functional equation in Menger probabilistic normed spaces )
Authors: Mohammad Sal Moslehian , R. Saadati , Hamid Reza Ebrahimi Vishki ,
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Abstract
We prove the stability of the quadratic functional equation f(x + y) + f(x - y) = 2f(x) + 2f(y) in the setting of Menger probabilistic normed spaces. As application, we get some stability results in the setting of both classical and non-classical normed spaces.
Keywords
, Stability, quadratic functional equation, Menger probabilistic normed space, fuzzy normed space.
@article{paperid:1031060,
author = {Sal Moslehian, Mohammad and R. Saadati and Ebrahimi Vishki, Hamid Reza},
title = {The quadratic functional equation in Menger probabilistic normed spaces},
journal = {Nonlinear Functional Analysis and Applications},
year = {2011},
volume = {16},
number = {3},
month = {December},
issn = {1229-1595},
pages = {305--312},
numpages = {7},
keywords = {Stability; quadratic functional equation; Menger probabilistic normed space;
fuzzy normed space.},
}
%0 Journal Article
%T The quadratic functional equation in Menger probabilistic normed spaces
%A Sal Moslehian, Mohammad
%A R. Saadati
%A Ebrahimi Vishki, Hamid Reza
%J Nonlinear Functional Analysis and Applications
%@ 1229-1595
%D 2011
