[PDF] Top 20 General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
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General uniqueness theorem concerning the stability of additive, quadratic, and cubic functional equations
... problem concerning the stability of functional equations: Give conditions in order for a linear function near an approximately linear function to ...for additive functions de- fined on ... See full document
12
A general uniqueness theorem concerning the stability of monomial functional equations in fuzzy spaces
... a general uniqueness theorem that can easily be applied to the (generalized) Hyers-Ulam stability of a large class of functional equations, which includes monomial ... See full document
11
Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
... the functional equation (1.5). Inter- esting new results concerning mixed functional equations has recently been obtained by Najati ...fuzzy stability of a mixed type of additive ... See full document
22
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... a theorem on stability of equation g ax a s gx a, s ∈ N, a ≥ 2 in random normed spaces and derive from it results on stability of equation f4x 10f2x − ...Ulam-Hyers stability for the ... See full document
16
Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
... Hyers’ theorem for approximately additive ...Hyers’ theorem which allows the Cauchy difference to be ...Hyers-Ulam-Rassias stability of functional equations see ... See full document
17
Orthogonal stability of mixed type additive and cubic functional equations
... The stability problem of functional equations originated from a question of ...1940, concerning the stability of group ...Hyers’ theorem for approximate additive mappings ... See full document
9
Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method
... the stability problem of functional equations which was first raised by ...the theorem of Hyers for approximately linear mappings was given by ...Ulam-Rassias stability originates from ... See full document
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A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation
... Hyers’ theorem was generalized by Aoki 15 for additive mappings and by ...Hyers-Ulam stability or as Hyers-Ulam-Rassias stability of functional ...Rassias theorem was obtained by ... See full document
24
A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation
... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group ...Hyers’ Theorem was generalized by Aoki 3 for ... See full document
16
Approximate Cauchy functional inequality in quasi Banach spaces
... Hyers-Ulam stability of functional equa- tion (b) and functional inequality (c) has been presented in ...papers concerning the stability of functional inequalities and the ... See full document
11
A general theorem on the stability of a class of functional equations including monomial equations
... probabilistic stability of the monomial functional ...On stability of the general linear ...A general uniqueness theorem concerning the stability of monomial ... See full document
12
Approximation of Functions by Quadratic Mapping in (β, p) Banach Space
... Hyers’s Theorem was generalized by Aoki [3] for additive map- pings and by Rassias [4] for linear mappings by considering an unbounded Cauchy ...Hyers-Ulam-Rassias stability of functional ... See full document
9
Stability of an Additive Cubic Quartic Functional Equation
... The stability problem of functional equations is originated from a question of Ulam 1 concerning the stability of group ...Hyers’ Theorem was generalized by Aoki 3 for ... See full document
20
Generalized Ulam-Hyers Stability of the Harmonic Mean Functional Equation in Two Variables
... of 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], ...of ... See full document
17
A General Theorem on the Stability of a Class of Functional Equations including Quartic-Cubic-Quadratic-Additive Equations
... 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
26
Functional equations and inequalities in paranormed spaces
... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...Hyers’ theorem was generalized by Aoki [] for ... See full document
23
Orthogonal Stability of an Additive-Quadratic Functional Equation
... The stability problem of functional equations originated from the following question of Ulam [13]: Under what condition does there exist an additive mapping near an approxi- mately ... See full document
11
On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
... of functional equations is the following: ”when is it true that a function which approximately satisfies a functional equation must be close to an exact solution of the ...problem concerning ... See full document
12
Comment on "on the stability of quadratic double centralizers and quadratic multipliers: a fixed point approach" [Bodaghi et al , j inequal appl 2011, article id 957541 (2011)]
... question concerning stability of group homo- morphisms: Under what condition does there exist an additive mapping near an approximately additive mapping? Hyers [2] answered the problem of Ulam ... See full document
7
Fuzzy Stability of a Quadratic Additive Functional Equation
... a quadratic-additive ...a stability of the quadratic-additive functional equation by taking and composing an additive mapping A and a quadratic mapping Q to prove ... See full document
17
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