Hyers-Ulam Stability Of Functional Inequalities Research Articles

Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups

In the paper, we introduce new ρ -functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved.

Hyers-Ulam stability of functional inequalities with three variables in Banach spaces and non-Archimedean Banach spaces

Hyers-Ulam stability of functional inequalities with three variables in Banach spaces and non-Archimedean Banach spaces

Functional equations and inequalities in paranormed spaces

Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of an additive functional equation, a quadratic functional equation, a cubic functional equation and a quartic functional equation in paranormed spaces. Furthermore, we prove the Hyers-Ulam stability of functional inequalities in paranormed spaces by using the fixed point method and the direct method. MSC: Primary 35A17; 47H10; 39B52; 39B72

On Functional Inequalities Originating from Module Jordan Left Derivations

We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear Jordan derivation) mapping into the Jacobson radical.