Orthogonal Stability of an Additive-Quadratic Functional Equation [PDF]
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
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A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations [PDF]
Journal of Function Spaces, 2015 We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations.
Yang-Hi Lee, Soon-Mo Jung
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Intuitionistic Fuzzy Stability of a Quadratic Functional Equation [PDF]
Fixed Point Theory and Applications, 2010 We consider the intuitionistic fuzzy stability of the quadratic functional equation by using the fixed point alternative, where is a positive integer.
Wang Liguang
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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions [PDF]
Journal of Inequalities and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young-Su Lee, Lee Young-Su
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On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
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Random stability and hyperstability of multi-quadratic mappings [PDF]
, 2022 In this paper, we introduce a new quadratic functional equation. In light of this equation, we define the multi-quadratic mappings and reduce the system of n equations defining the multi-quadratic mappings to a single equation.
Park, Choonkil +5 more
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Fuzzy stability in the sense of Hyers-Ulam-Rassias of a functional equation on quadratic forms
, 2023 We obtain a general solution of the 2-variable quadratic functional equation (formula present) and discuss the stability of the above functional equation, while the quadratic form z(a, b) = aa2 + bab + gc2 is a solution of our functional ...
Jafari, Saeid +4 more
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On Jensen’s and the quadratic functional equations with involutions [PDF]
Proyecciones (Antofagasta), 2017 We determine the Solutions f : S → H of the generalized Jensen’s functional equation f( x + σ(y)) + f( x + τ(y)) = 2f(x), x , y∈ Sand the solutions f : S → H of the generalized quadratic functional equationf ( x + σ(y)) + f (x + τ(y)) = 2f (x) + 2f (y), x, y ∈ S,where S is a commutative semigroup, H is an abelian group (2-torsion free in the first ...
Fadli, B. +3 more
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Analytical Study of a ϕ− Fractional Order Quadratic Functional Integral Equation
, 2022 Quadratic integral equations of fractional order have been studied from different views. Here we shall study the existence of continuous solutions of a ϕ− fractional-orders quadratic functional integral equation, establish some properties of ...
Shorouk M. Al-Issa +2 more
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On the Stability of Quadratic Functional Equations
Abstract and Applied Analysis, 2008 Let X, Y be vector spaces and k a fixed positive integer. It is shown that a mapping f(kx + y) + f(kx-y) = 2k2f(x) + 2f(y) for all x, y ∈ X if and only if the mapping f : X → Y satisfies f(x + y) + f(x-y) = 2f(x) + 2f(y) for all x, y ∈ X. Furthermore, the Hyers‐Ulam‐Rassias stability of the above functional equation in Banach spaces is proven.
Lee, Jung Rye +2 more
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