[PDF] Top 20 Intuitionistic fuzzy stability of a quadratic and quartic functional equation

... of intuitionistic fuzzy normed spaces, initially has been introduced by Saadati and Park ...of intuitionistic fuzzy normed ...the intuitionistic fuzzy normed linear spaces, and ... See full document

... Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f x 2y f x − 2y 2f x y 2f − x − y 2fx − y 2f y − x − 4f−x − 2fx f2y f−2y − 4fy − 4f−y in complete ... 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

... a quadratic functional ...the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... 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

... The first stability problem was raised by S.M. Ulam [35] during his talk at the University of Wisconsin in 1940. In fact we are given a group ( G 1 , ·) and let ( G 2 , ∗) be a metric group with the metric d (· , ... See full document

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of ... See full document

... Hyers-Ulam stability of the Cauchy additive functional equa- tion, the quadratic functional equation ...cubic functional equation (.) and the quartic ... See full document

... first stability problem concerning group ...This stability is also investigates by Park ...a fuzzy vector topological structure on the linear ...type fuzzy norms and some properties of ... See full document

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

... the intuitionistic random stability of the quartic functional equation and ...Hyers-Ulam stability of the additive- quadratic functional equation in ... See full document

... be quadratic functional equation because the quadratic function f (x) = ax 2 is a solution of the functional equation ... See full document

... Hyers-Ulam stability of the quadratic functional equation ...in fuzzy Banach ...Hyers-Ulam stability of the quadratic functional equation ...in fuzzy ... See full document

... for all x, y ∈ E, controlled by a product of different powers of norms, where θ ≥ 0 and real numbers p, q, r : p q / 1, and retained the condition of continuity of f tx in t ∈ R for each fixed x ∈ E. Besides he ... See full document

... f (2x + y) + f (2x − y) = 2f (x + y) + 2f (x − y) + 12f (x) (1:3) and they established the general solution and the generalized Hyers-Ulam stability for the functional equation (1.3). They proved ... 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

... Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy ...the stability is related to some fixed point of a suitable ... See full document

... the fuzzy sense. As we mentioned before, in previous studies of stability problem of ...get stability theorems by handling the odd and even part of f, ... See full document

... Rassias stability of the quartic functional equation ...the stability of the quartic functional equation ...in intuitionistic random normed ... 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