[PDF] Top 20 Local stability of the additive functional equation and its applications
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Local stability of the additive functional equation and its applications
... Hyers-Ulam stability of the additive func- tional equation for many cases of restricted domains in R ...the local stability of the additive equation for more general cases ... See full document
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Additive functional equation and inequality are stable in Banach space and its applications
... The stability problem of functional equations originated from a question of ...the stability of group ...for additive mappings and by ... See full document
8
Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations
... G˘avrut¸a [10] provided a further generalization of Rassias’ theorem. During the last two decades, a number of papers and research monographs have been published on vari- ous generalizations and applications of ... See full document
13
Fuzzy Stability of a Quadratic Additive Functional Equation
... since n−1 j0 1/22 p /4 j 2 p /2 j ≤ 24 − 2 p 2 − 2 p /4 − 2 p 2 − 2 p . Because 0 < ε < 1 is arbitrary, we get inequality 2.3 in this case. Finally, to prove the uniqueness of F, let F : X → Y be another ... See full document
17
Orthogonal Stability of an Additive-Quadratic Functional Equation
... provide applications 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 ... See full document
11
Stability of an Additive Cubic Quartic Functional Equation
... unique additive mapping A : X → Y, a unique mapping C : X × X × X → Y , and a unique symmetric multi-additive mapping Q : X × X × X × X → Y such that fx Ax Cx, x, x Qx, x, x, x for all x ∈ X, and that C is ... See full document
20
Stability of an additive functional equation in the spaces of generalized functions
... the equation for the spaces of generalized ...heat equation we solve the general solutions and the stability problems of this equation in the spaces of tempered distributions and Fourier ... See full document
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Non-Archimedean stability of Cauchy-Jensen Type functional equation
... If the problem accepts a solution, we say that the equation is stable. The first sta- bility problem concerning group homomorphisms was raised by Ulam [35] in 1940. In the next year, Hyres [11] gave a positive ... See full document
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Fuzzy Hyers Ulam stability of an additive functional equation
... Proof. The proof follows from Theorem 2.3 by taking (x, y, z): = θ(||x|| p · ||y|| p · || z|| p ) for all x, y, z Î X. Then we can choose L = 2 -3p and we get the desired result. □ 2.2. Direct method. In this subsection, ... See full document
13
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... the stability of the linear functional equation, ...Rassias, Stability of functional equations in several variables,Birkhauser, Basel, ... See full document
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Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... provide applications of stability theory of functional equations for the proof of new fixed-point theorems with applica- ...the stability problems of several functional equations have ... See full document
18
Orthogonally additive additive and orthogonally quadratic quadratic functional equation in orthogonality spaces
... provide applications of stability theory of functional equations for the proof of new fixed point theorems with ...the stability problems of several functional equations have been ... See full document
17
Stability of Mixed Type Cubic and Quartic Functional Equations in Random Normed Spaces
... cubic functional equation. Every solution of the cubic functional equation is said to be a cubic ...is additive for fixed two ... See full document
9
Fuzzy Stability of an Additive Quadratic Quartic Functional Equation
... Hyers-Ulam stability of the additive-quadratic-quartic functional equation ...Hyers-Ulam stability of the additive- quadratic-quartic functional equation ... See full document
22
On the stability of a mixed type quadratic additive functional equation
... the stability of the linear functional ...the stability of the linear mapping in Banach ...S: Functional Equations and Inequalities in Several ...Hyers-Ulam-Rassias stability of ... See full document
10
On the Stability of Affine Functional Equations in Various Spaces
... [13] Th.M. Rassias, On the Stability of Functional Equations in Banach spaces, J. Math. Anal. Appl., 251 (2000), 264–284. [14] W.-G. Park, Approximate additive mapping in 2-Banach spaces and related ... See full document
7
Fuzzy approximately additive mappings
... is its solution. The stability problem for the generalized additive functional equation with n–variables was proved by Khodaei and Rassias ...the functional equation ... See full document
10
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, 45–47, ... See full document
18
On the Stability of a New Pexider Type Functional Equation
... an additive functional equations. Also, we obtain its general solution from the stability results. Copyright q 2008 Kil-Woung Jun et al. This is an open access article distributed under the ... See full document
22
Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation
... provide applications of stability theory of functional equations for the proof of new fixed-point theorems with ...the stability problems of several functional equations have been ... See full document
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