[PDF] Top 20 Solution and stability of system of quartic functional equations
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Solution and stability of system of quartic functional equations
... Conversely, assume that f : X → Y satisfies the functional equation (1.5) for all x, y, z ∈ X. Setting x = y = z = 0 in (1.5), we obtain f (0) = 0. Replacing (x, y, z) by (0, 0, x) in (1.5), we reach f (−x) = f ... See full document
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Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... 1.3, which is thus called a cubic functional equation. Every solution of the cubic functional equation is said to be a cubic function. Jun and Kim proved that a function f between real vector spaces ... See full document
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Orthogonal stability of an additive quartic functional equation with the fixed point alternative
... in which ⊥ is an abstract orthogonality relation, was first investigated by Gudder and Strawther [3]. They defined ⊥ by a system consisting of five axioms and described the general semi-continuous real-valued ... See full document
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On the Stability of Quartic Functional Equations via Fixed Point and Direct Method
... the Quartic functional equation, since ax 4 is a solution of the Quartic functional equation ...Hyers-Ulam-Rassias stability of this equation was introduced by ... See full document
6
Stability of Quartic Functional Equations in the Spaces of Generalized Functions
... general solution of quartic functional equations and prove the Hyers-Ulam- Rassias ...the stability results of quartic functional equations in the spaces of ... See full document
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Cubic-quartic functional equations in fuzzy normed spaces
... a solution of the functional equation ...general solution and the generalized Hyers–Ulam stability and Ulam–Gavruta–Rassias stability of the functional equation ... See full document
10
Fuzzy Stability of an Additive Quadratic Quartic Functional Equation
... of stability theory of functional equations for the proof of new fixed point theorems with ...the stability problems of several functional equations have been extensively ... See full document
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Quadratic Quartic Functional Equations in RN Spaces
... Hyers-Ulam-Rassias stability problem for the quadratic functional equation ...Hyers-Ulam-Rassias stability of the functional equation ... See full document
14
Random Stability of an Additive Quadratic Quartic Functional Equation
... Hyers-Ulam stability of different functional equations in random normed spaces, RN- spaces and fuzzy normed spaces has been recently studied in, Alsina 44, Mirmostafaee, Mirzavaziri and Moslehian 33, ... See full document
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Functional equations and inequalities in paranormed spaces
... quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document
23
Stability of an Additive Cubic Quartic Functional Equation
... In fact, they proved that a mapping f between two real vector spaces X and Y is a solution of 1.2 if and only if there exists a unique symmetric multi-additive mapping B : X ×X ×X ×X → Y such that fx Bx, x, x, x ... See full document
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Intuitionistic fuzzy stability of a quadratic and quartic functional equation
... f (x + y) + f (x − y) = 2f(x) + 2f (y) (1.1) is related to a symmetric bi-additive function [30, 31]. It is natural that this equa- tion is called a quadratic functional equation. In particular, every ... See full document
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Approximation on the reciprocal cubic and reciprocal quartic functional equations in non Archimedean fields
... A: Stability of a mixed type additive and quartic function ...S: Functional Equations and Inequalities in Several ...TM: Stability of Functional Equations in Several ...R: ... See full document
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The Hyers Ulam Rassias stability of the quartic functional equation in fuzzy β normed spaces
... 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
14
Fuzzy Stability of Quadratic Functional Equations
... quadratic functional equation. In particular, every solution of the quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem for the quadratic functional ... See full document
16
Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces
... the solution of Hyers- Ulam-Rassias stability for the functional equation ...The quartic functional equa- tion was introduced by Rassias [19] in ... See full document
11
On the Stability of a Generalized Quadratic and Quartic Type Functional Equation in Quasi Banach Spaces
... the functional equation ...general solution of the functional equation ...Hyers-Ulam stability of this functional equation whenever f is a mapping between two quasi-Banach ... See full document
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Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... and quartic functional equations and its Hyers-Ulam-Rassias stability were discussed by various authors ([3], [7], [12], [21], [24], [27], [29], [32], [34], ...of functional ... See full document
17
A note on the existence and uniqueness of the solutions to SFDES
... stochastic functional differential equations(SFDEs) with finite and infinite delay under less restrictive conditions than Lipschitz ...the solution for stochastic functional differential ... See full document
11
A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
... When the Hyers’ theorem is true even if we replace ε and K(ε) by ϕ(x) and Φ(x), where ϕ and Φ are functions not depending on f and F explicitly, the corresponding equation is said to have (or satisfy) the generalized ... See full document
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