Stability of Functional Equations in Banach Algebras

Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric

“…From the definition of the metric d and by (10) (15) for all x ∈ [a, b]. This means that under the above conditions, the integral equation (1) has the Hyers-Ulam-Rassias stability.…”

On Stability of a-Quartic Functional Equations in Random Normed Spaces

“…In the next year, Hyers [9] gave answer of Ulams question in the case of approximately additive mappings. Thereafter, Hyers result was generalized by Aoki [3] and improved for additive mappings, and subsequently improved by Rassias [ [6], [7]] for linear mappings by allowing the Cauchy difference to be unbounded. Since then, stability of functional equation had been discussed in various spaces by researchers [ [2], [4], [5]].…”

Hyers-Ulam-Rassias Stability of the $C^*$-ternary Bi-homomorphisms and $C^*$-ternary Bi-derivations in $C^*$-ternary Algebras

“…The fixed point method has provided a lot of influence in the development of stability. We refer to many works of stability of functional equations using the fixed point method in books on stability of functional equations (see [6,7,10,12,21]).…”