[PDF] Top 20 Stability of an AQCQ functional equation in paranormed spaces
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Stability of an AQCQ functional equation in paranormed spaces
... The stability problem of functional equations originated from the question of Ulam [] concerning the stability of group homomorphisms. Hyers [] gave the first affirmative partial answer to the ... See full document
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On the stability of an AQCQ functional equation in random normed spaces
... In the sequel, we adopt the usual terminology, notations and conventions of the the- ory of random normed spaces, as in [35-37]. Throughout this paper, Δ + is the space of distribution functions, that is, the ... See full document
12
General Solution and Two Methods of Generalized Ulam - Hyers Stability of $n-$ Dimensional AQCQ Functional Equation
... We claim that the additive functional equation (1.3) is not stable for r = 1 in condition ( ii ) of Corollary 3.1. Suppose on the contrary that there exist a additive mapping A : R → R and a constant η > ... See full document
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A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... Therefore, g satisfies (77). Now, we claim that the functional equation (12) is not stable for r = 1 in Corollaries 2.8 and 2.11. Suppose, on the contrary, that there exist a additive mapping A : C → C and ... See full document
30
An AQCQ functional equation in paranormed spaces
... the functional equation (1.1), which is called a cubic functional equation and every solution of the cubic functional equation is said to be a cubic ... See full document
9
Functional equations and inequalities in matrix paranormed spaces
... 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
13
Functional equations in paranormed spaces
... the stability of the linear functional ...the stability of the linear transformation in Banach ...the stability of the linear mapping in Banach ...Hyers-Ulam-Rassias stability of ... See full document
14
An AQCQ functional equation in matrix Banach spaces
... 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
15
Functional equations and inequalities in paranormed spaces
... 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
AQ-Functional Equation in Paranormed Spaces
... Hyers-Ulam stability for general additive functional equations in quasi- β-normed spaces , ...the stability properties of a mixed type additive, quadratic and cubic functional ... See full document
11
Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
... for functional equations is via the use of the regularization of distributions 5, ...Hyers-Ulam stability 7–10 for functional equations in distributions ... See full document
12
Stability of an additive functional equation in the spaces of generalized functions
... was proposed by Nakmahachalasint [14], where n is a positive integer with n > 1. He proved that (1.2) is equivalent to (1.1). For that reason, we say that (1.2) is a generali- zation of the Cauchy functional ... See full document
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Stability of Cubic Functional Equation in the Spaces of Generalized Functions
... If p < 0 or q < 0, the right-hand side of (1.7) does not define a distribution and so inequality (1.7) makes no sense. If p,q = 3, it is not guaranteed whether Hyers-Ulam- Rassias stability of (1.5) is hold ... See full document
13
Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... Normed Spaces, International Mathematical Forum, 4, 2009, ...the stability of the linear functional equation, ...Rassias, Stability of functional equations in several ... See full document
19
Hyers Ulam Rassias stability of the additive quadratic mappings in non Archimedean Banach spaces
... of stability theory of functional equations for the proof of new fixed-point theorems with applica- ...the stability problems of several functional equations have been extensively investigated ... See full document
18
On the Stability of a General Mixed Additive Cubic Functional Equation in Random Normed Spaces
... normed spaces RN-spaces is important as a generalization of deterministic result of linear normed spaces and also in the study of random operator ...Hyers-Ulam stability of different ... See full document
16
On the stability of pexider functional equation in non archimedean spaces
... Hyers-Ulam-Rassias stability of functional equations (for more details, see [5] where a discussion on definitions of the Hyers-Ulam stability is provided by Moszner, also ... See full document
11
Random Stability of an Additive Quadratic Quartic Functional Equation
... Hyers-Ulam stability of the following additive-quadratic-quartic functional equation f x 2y f x − 2y 2f x y 2f − x − y 2fx − y 2f y − x − 4f−x − 2fx f2y f−2y − 4fy − 4f−y in complete random normed ... See full document
18
On the Stability of Affine Functional Equations in Various Spaces
... In this section, we shall prove the Hyers-Ulam- Rassias stability of affine functional equation (1.1) in random normed space using fixed point approach. Definition 3.1 [16] A mapping T : [0, 1][0, ... See full document
7
Fixed Points and Random Stability of a Generalized Apollonius Type Quadratic Functional Equation
... The stability problem of functional equations was originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ... See full document
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