[PDF] Top 20 Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces

... 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

... Ulam stability of the functional equation (1.5) in fuzzy Banach spaces for an even ...Hyers-Ulam stability of the functional equation (1.5) in fuzzy ... See full document

... In fact they proved that a function f between real vector spaces X and Y is a solution of 1.4 if and only if there exists a unique symmetric multiadditive function Q : X × X × X × X → Y such that fx Qx, x, x, x ... See full document

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

... This functional equation is called quartic, since the quartic mapping f (x) = cx 4 (c ∈ R) is a solution of the functional ...the quartic functional equation is ... See full document

... Hyers-Ulam stability problem for the quadratic functional equation ...a Banach space see ...Hyers-Ulam stability of the functional equation ... See full document

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam-Rassias stability of functional ... See full document

... a mixed type of quadratic and additive functional ...Hyers-Ulam-Rassias stability for a mixed type of cubic, quadratic and additive functional equation, with ... See full document

... Hyers-Ulam-Rassias stability with the generalized control function. This stability result is called the Hyers-Ulam-Rassias stability of functional ...the quartic functional ... See full document

... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability or as Hyers-Ulam-Rassias stability of ... See full document

... the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...S: Functional Equations ... See full document

... We now investigate the generalized Hyers-Ulam-Rassias stability problem for functional equation 1.6. From now on, let X be a real vector space, and let Y be a Banach space. Now before taking ... See full document

... normed spaces RN-spaces is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...Hyers-Ulam stability of different ... See full document

... operator spaces and Banach ...multi-normed spaces and many examples are given in [17]. Also, the stability problems in mul- ti-Banach spaces are studied by Dales and Moslehian ... See full document

... Under what condition is there a homomorphism near an approximately homomorphism between a group and a metric group? This is called the stability problem of functional equations which was first raised by S. ... See full document

... Theorem 2.2 . Let q be a positive real number with q = 1 2 , 1. And let f be a fuzzy q- almost quadratic-additive mapping from a fuzzy normed space (X, N) into a fuzzy Banach space (Y, N ’ ). ... See full document

... 4(f (3x + y) + f(3x − y)) = −12(f(x + y) + f (x − y)) + 12(f(2x + y) + f (2x − y)) − 8f (y) − 192f (x) + f (2y) + 30f (2x). (1.5) It is easy to see that the function f : R → R defined by f(x) = ax 4 +bx 3 is a solution ... See full document

... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability or as Hyers-Ulam-Rassias stability of ... See full document

... 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

... a cubic functional equation, because the cubic function f (x) = cx 3 is a solution of the equation ...Hyers-Ulam-Rassias stability for the functional equation ... See full document