mixed additive-quadratic functional equations
Generalized Ulam - Hyers Stability of on (AQQ): Additive - Quadratic - Quartic Functional Equation
... Keywords: Additive functional equations, Quadratic functional equations, Quartic functional equations, Mixed type functional equations, Ulam - Hyers stability, Ulam - Hyers - Rassias sta[r] ...
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AQ-Functional Equation in Paranormed Spaces
... general additive functional equations in quasi- β-normed spaces , ...a mixed type additive, quadratic and cubic functional equation ...
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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 ...a mixed type of additive and ...
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Stability of 2-Variable Additive-Quadratic-Cubic-Quartic Functional Equation Using Fixed Point Method
... of mixed type functional equations have been extensively investigated by a number of math- ematicians in referenes (see [3–5, 14–22, 28–31, 33–38, 43, 48, ...
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Intuitionistic fuzzy stability of a quadratic and quartic functional equation
... concerning mixed functional equations have recently been obtained by Najati ...a mixed type of additive and quadratic functional equation by Park ...
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Solution and Stability of a Mixed Type Additive, Quadratic, and Cubic Functional Equation
... for all x ∈ E. Moreover if f tx is continuous in t for each fixed x ∈ E, then T is linear see also 3. In 1950, Aoki 4 generalized Hyers’ theorem for approximately additive mappings. In 1978, Th. M. Rassias 5 ...
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A fixed point approach to the non-Archimedean random stability of generalized mixed type AQCQ-functional equations
... is called symmetric multi additive if Q is additive with respect to each variable x i , i = 1,2, 3, 4 in (1.6). A function f is defined as f (x) = β (x)−α(x) 12 , where α(x) = f (2x) − 16 f (x), β (x) = f ...
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On the stability of a mixed type quadratic additive functional equation
... unique additive mapping A such that f (x) – A(x) ≤ ...various functional equations have been extensively studied and generalized by a number of authors (see ...
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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], ...the mixed ...
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Fuzzy Stability of a Quadratic Additive Functional Equation
... of functional equations is “when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the equation?” Such a problem, called a ...
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Quadratic $alpha$-functional equations
... of functional equations for the proof of new fixed point theorems with ...several functional equations have been extensively investigated by a number of authors (see [1, 7, 8, ...of ...
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On approximate dectic mappings in non-Archimedean spaces: A fixed point approach
... During the last three decades theory of non-Archimedean spaces has gained the interest of physi- cists for their research, in particular the problems that emerge in quantum physics, p-adic strings and superstrings [21]. ...
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3 Dimensional Additive Quadratic Functional Equation
... It is to be noted that, Mirmostafaee and Moslehian [28] initiate a notion of a non-Archimedean fuzzy norm and studied the stability of the Cauchy equation in the context of non-Archimedean fuzzy spaces. They presented an ...
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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)]
... of quadratic double centralizers and quadratic multipliers: a fixed point ...of quadratic double centralizers and quadratic multipliers on Banach algebras by fixed point ...the ...
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Quadratic functional equations of Pexider type
... The functional equation ...a functional on a real vector space is a solution of ...an additive function A such that f (x) = B(x,x)+ A(x) for any x (see [6]), while the author investigated, in [4, 5], ...
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Fuzzy Stability of an Additive Quadratic Quartic Functional Equation
... of functional equations for the proof of new fixed point theorems with ...several functional equations have been extensively investigated by a number of authors see 12, ...
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Functional equations and inequalities in paranormed spaces
... of functional equations for the proof of new fixed point theorems with ...several functional equations have been extensively investigated by a number of authors (see ...
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Fuzzy Stability of Quadratic Functional Equations
... This paper is organized as follows. In Section 2, we prove the generalized Hyers-Ulam stability of the quadratic functional equation 1.1 in fuzzy Banach spaces. In Section 3, we prove the generalized ...
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Orthogonal Stability of Mixed Additive Quadratic Jensen Type Functional Equation in Multi Banach Spaces
... in which ⊥ is an orthogonality relation, is first investigated by Gudder and Strawther [13]. In 1985, Rätz [14] in- troduced a new definition of orthogonality by using more restrictive axioms than Gudder and Strawther. ...
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Orthogonal Stability of an Additive-Quadratic Functional Equation
... of functional equations for the proof of new fixed point theorems with applica- ...several functional equa- tions have been extensively investigated by a number of authors (see ...
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