THE QUADRATIC FUNCTIONAL EQUATION IN MENGER PROBABILISTIC NORMED SPACES
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.
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.
Refbacks
- There are currently no refbacks.
ISSN: 1229-1595 (Print), 2466-0973 (Online)
(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea