[PDF] Top 20 Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation

... the generalized Hyers- Ulam stability of the functional equation ...in fuzzy Banach spaces for an even ...the generalized Hyers-Ulam stability of the functional ... See full document

... of functional equations is “when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the equation?” Such a problem, ... See full document

... functional equation 1.5, which is called a quartic functional equation see also ...the generalized Hyers-Ulam stability for a mixed type of quartic and ... See full document

... Hyers [8] was the first person to point out the direct method for studying the stability of func- tional equation. In 2003, Radu [19] proposed the fixed point alternative method to solve the Ulam problem. ... See full document

... Proof. Suppose that fx Ax Qx, x Cx, x, x for all x ∈ X, where A : X → Y is additive, Q : X × X → Y is symmetric and biadditive, and C : X × X × X → Y is symmetric and 3-additive. Then it is easy to see that ... See full document

... The stability problem of functional equations originated from a question of ...the stability of group ...a generalized version of Hyers’ theorem for approximate additive mappings was ... See full document

... the generalized Hyers-Ulam stability of the additive-quadratic-quartic functional equation ...in fuzzy Banach spaces for an odd ...the generalized Hyers-Ulam ... See full document

... The stability problem concerning the stability of group homomorphisms of functional equations was originally introduced by Ulam [] in ...Ulam stability prob- lem was partially solved by Hyers ... See full document

... the generalized Hyers-Ulam-Rassias sta- bility for a mixed type of quadratic and additive functional ...Hyers-Ulam-Rassias stability for a mixed type of ... See full document

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...A generalized Hyers-Ulam stability problem for the quadratic ... See full document

... was generalized by Aoki 15 for additive mappings and by ...call generalized Hyers-Ulam stability or as Hyers-Ulam-Rassias stability of functional ... See full document

... unique additive mapping A such that f (x) – A(x) ≤ ...[] generalized Hyers’ result to the unbounded Cauchy ...the stability problems of various functional equations have been extensively ... See full document

... investigated Generalized Hyers-Ulam stability for general additive functional equations in quasi- β-normed spaces , ...the stability properties of a mixed type ... See full document

... of stability of a functional equation arises when one replaces a func- tional equation by an inequality which acts as a perturbation of the ...first stability problem concerning group ... See full document

... [3] generalized the Hyers theorem for additive ...a generalized version of the Hyers theorem which permits the Cauchy difference to become ...of stability theory of functional equations ... See full document

... of quadratic, cubic and quartic functional equations and its Hyers-Ulam-Rassias stability were discussed by various authors ([3], [7], [12], [21], [24], [27], [29], [32], [34], ...the ... See full document

... The notion of multi-normed space is introduced by Dales and Polyakov [17]. This concept is somewhat simi- lar to operator sequence space and has some connections with operator spaces and Banach lattices. Motivations for ... See full document

... a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic ...is additive for fixed two ... See full document

... the stability problem of functional equations which was first raised by ...A generalized version of the theorem of Hyers for approximately linear mappings was given by ...Ulam-Rassias ... See full document

... the fuzzy stability prob- lems for the Cauchy additive functional equation, the Jensen additive functional equation and the cubic functional ... See full document