Stability of a Cubic Functional Equation in Fuzzy Normed Space

Cubic derivations on Banach algebras

“…Corollary 2 Let δ, r be positive real numbers with r > 3, and let f : A −→ X be a mapping with f (0) = 0 satisfying (16), (17). Then there exists a unique cubic derivation D :…”

“…The cubic function f (x) = ax 3 is a solution of this functional equation. The stability of the functional equation (1) has been considered on different spaces by a number of writers (for instance, [11] and [17]).…”

Quattuortrigintic Functional Equation and its Hyers-Ulam Stability

“…In 1994, a generalization of Rassias theorem was obtained by Gâvruta [13] and this idea is known as generalized Hyers-Ulam-Rassias stability. After that, the general stability problems of various functional equations such as additive [23,24], quadratic [22,28], cubic [5,21,29,30], quartic [5,33], quintic and sextic [4,25,32], septic and octic [47], nonic [6,42], decic [3], undecic [40], quattuordecic [41], hexadecic [18], octadecic [26], vigintic [39], viginticduo [17], quattuorvigintic [27,38,35] and trigintic [8] and so on.…”

Fuzzy Stability Results of Finite Variable Additive Functional Equation: Direct and Fixed Point Methods

“…Over recent years, the stability issues of numerous functional equations were significantly investigated through a number of authors (c.f. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and references therein). Katsaras [23] described a fuzzy norm on a vector space to build a fuzzy vector topological structure on the space.…”