Generalized Stability of an Additive-Quadratic Functional Equation in Various Spaces

Abstract


 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.