Stability Of Additive Functional Equation Research Articles

Stability of Additive Functional Equation Originating from Characteristic Polynomial of Degree Three

The authors use direct and fixed point methods to prove generalised Ulam–Hyers stability and a solution of the following new form of symmetric additive functional equation arising from characteristic polynomial of degree three in Banach spaces.

Hyers–Ulam Stability of Additive Functional Equation Using Direct and Fixed-Point Methods

In this present work, we obtain the solution of the generalized additive functional equation and also establish Hyers–Ulam stability results by using alternative fixed point for a generalized additive functional equation χ ∑ g = 1 l v g = ∑ 1 ≤ g < h < i ≤ l χ v g + v h + v i − ∑ 1 ≤ g < h ≤ l χ v g + v h − l 2 − 5 l + 2 / 2 ∑ g = 1 l χ v g − χ − v g / 2 . where l is a nonnegative integer with ℕ − 0,1,2,3,4 in Banach spaces.

Stability of additive functional equation on discrete quantum semigroups

We construct a noncommutative analog of additive functional equations on discrete quantum semigroups and show that this noncommutative functional equation has Hyers-Ulam stability on amenable discrete quantum semigroups. The discrete quantum semigroups that we consider in this paper are in the sense of van Daele, and the amenability is in the sense of Bedos-Murphy-Tuset. Our main result generalizes a famous and old result due to Forti on the Hyers-Ulam stability of additive functional equations on amenable classical discrete semigroups.

Ulam-J Rassias Stability of Additive Functional Equation in Digital Logic Circuits

Ulam-J Rassias Stability of Additive Functional Equation in Digital Logic Circuits

Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods

In this paper, the authors established the generalized Ulam - Hyers stability of additive functional equation