The probabilistic stability for a functional equation in a single variable
By using the fixed point method, the author deals with the probabilistic Hyers-Ulam stability and the generalized Hyers-Ulam-Rassias stability of the functional equation \[ \mu\circ f \circ\eta=f \] where \(\eta:X\to X, \mu:Y\to Y\) are given functions and \(f\) is the unknown mapping from \(X\) to a probabilistic metric space \((Y,F,T_{M})\) with \(T_{M}(a,b)=\min(a,b)\) and probabilistic distance \(F\).
generalized Hyers-Ulam-Rassias stability
scientific article; zbMATH DE number 5652019
scientific article