Open AccessGENERALIZED STABILITY OF AN ADDITIVE-QUADRATIC FUNCTIONAL EQUATION IN VARIOUS SPACES
Author(s) -
Shaymaa Alshybani
Publication year - 2019
Publication title -
mağallaẗ al-qādisiyyaaẗ li-l-ʻulūm al-ṣirfaẗ
Language(s) - English
Resource type - Journals
eISSN - 2411-3514
pISSN - 1997-2490
DOI - 10.29350/jops.2019.24.3.964
Subject(s) - mathematics , quadratic equation , stability (learning theory) , functional equation , pure mathematics , point (geometry) , fixed point , mathematical analysis , computer science , partial differential equation , geometry , machine learning
ABSTRACT. In this paper, using the direct and fixed point methods, we have established the generalized Hyers-Ulam stability of the following additive-quadratic
functional equation
in non-Archimedean and intuitionistic random normed spaces.
AMS 2010 Subject Classification: 39B82, 39B52, 46S40.
Keywords. generalized Hyers-Ulam stability; additive mapping; quadratic mapping;
non-Archimedean random normed spaces; intuitionistic random normed spaces; fixed point.