[PDF] Top 20 Fuzzy Hyers Ulam stability of an additive functional equation

... a Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [5] for mappings f : X ® Y, where X is a normed space and Y is a Banach ...the Hyers- ... See full document

... Let X be a real normed space and Y be a real Banach space in the case of functional inequalities, as well as let X and Y be real linear spaces in the case of functional equa- tions. The quadratic function ... See full document

... functional equation. In particular, every solution of the quadra- tic functional equation is said to be a quadratic ...The Hyers-Ulam stability of the quadratic ... See full document

... the Hyers-Ulam-Rassias stability of the functional inequality ...Jensen additive mappings and prove their stability, and Cho and Kim 23 proved the Hyers- ... See full document

... proof of Theorem 2.1 can be derived from theorems presented in the books 19, 20. However, the theorems in 19, 20 deal with solutions of the linear equation under some regularity conditions, for example, the ... See full document

... several functional equations have been ex- tensively investigated by a number of authors [1, 2, 12, 13, 20, 21, 26, 28] ...generalized Ulam - Hyers stability originates from these historical ... See full document

... Therefore, f satisfies (.). Now, we claim that the functional equation (.) is not stable for p =  in Corollary .. Suppose, on the contrary, that there exist an additive mapping A : C → C and a ... See full document

... of stability theory of functional equations for the proof of new fixed-point theorems with applica- ...the stability problems of several functional equations have been extensively investigated ... See full document

... of stability problems for functional equations is related to a question of Ulam [51] concerning the stability of group homomorphisms was affirmatively answered for Banach spaces by ... See full document

... general fuzzy normed spaces to fuzzy β -normed spaces and adopt the fixed point and direct methods to prove the Hyers-Ulam-Rassias stability of the quartic functional ... See full document

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

... Generalized Hyers-Ulam Stability for General Additive Functional Equation in Quasi- β -Normed ...The Hyers-Ulam Stability of a Functional ... See full document

... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...homomorphisms. Hyers [] gave the first affirmative partial ... See full document

... 11. Hyers, DH: On the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...the ... See full document

... a fuzzy generalized Hyers-Ulam-Rassias stability theorem for the Pexiderized quadratic functional equation ...the stability for odd and even functions and then we apply ... See full document

... of functional equations is as ...a functional equation must be close to an exact solution of the equation?” The first stability problem concerning group homomorphisms was raised by ... See full document

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

... Rassias [9] followed the innovative approach of Rassias ’ theorem [3] in which he replaced the factor ∥ x ∥ p + ∥ y ∥ p by ∥ x ∥ p · ∥ y ∥ q for p,q Î ℝ with p + q ≠ 1. G ă vruta [10] provided a further generalization of ... See full document

... on Functional Equations asked the question whether such a theorem can also be proved for p ...the Hyers-Ulam stability concept. This new concept of stability is known as general- ized ... See full document

... the functional equation ...mixed functional equations has recently been obtained by Najati ...the fuzzy stability of a mixed type of additive and quadratic functional ... See full document