[PDF] Top 20 ORTHOGONAL STABILITY OF THE NEW GENERALIZED QUADRATIC FUNCTIONAL EQUATION

... each equation is called a quadratic functional ...the quadratic equation ...is quadratic if and only if there exists a unique symmetric biadditive function B such that f ( x ) = ... See full document

... a quadratic functional equation because the quadratic function f (x) = ax 2 is a solu- tion of the functional equation ...A quadratic functional equation was ... See full document

... this functional equation is called a quadratic functional ...the quadratic equation ...is quadratic if and only if there exists a unique symmetric biadditive mapping B ... See full document

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

... the generalized Hyers- Ulam stability of the functional equation ...the generalized Hyers-Ulam stability of the functional equation ...the generalized ... See full document

... Jun, “On the generalized Hyers-Ulam-Rassias stability of an n-dimensional quadratic functional equation,” Journal of Mathematical Analysis and Applications, vol.. Park, “On the generaliz[r] ... 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

... The stability problem of functional equations was originated from a question of Ulam 1 concerning the stability of group ...was generalized by Aoki 3 for additive mappings and by ...call ... See full document

... in which ⊥ is an abstract orthogonality relation was first investigated by Gudder and Strawther [8]. They defined ⊥ by a system consisting of five axioms and described the general semi-continuous real-valued solution of ... See full document

... holds for convolution. The semigroup property will be very useful for converting equation (.) into the classical functional equation defined on an upper-half plane. We also use the following famous ... 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 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

... the functional equation 1.7. In the sequel, we investigate the general solution of functional equation 1.7 when f is a function between vector spaces, and then we prove the generalized ... See full document

... Hyers-Ulam stability result for a nonlinear functional equation in a single ...the stability of the Cauchy functional equation: a fixed point approach’ in ‘The th European ... See full document

... as quadratic functional ...Hyers-Ulam-Rassias stability of the quadratic functional equation ...the orthogonal stability of the quadratic functional ... 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 stability of A-quadratic mappings in Banach A-modules associated with the functional equation ...of stability theory of functional equations ... See full document

... The functional equation 1.1 was first solved by Kannappan 15. In fact, he proved that a function on a real vector space is a solution of 1.1 if and only if there exist a symmetric biadditive function B and ... See full document

... Hyers-Ulam-Rassias stability of the func- tional equation. The Hyers-Ulam stability on unbounded domains is also ...the generalized quadratic functional equation are ... 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 equa- tions have been extensively ... See full document