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[PDF] Top 20 A fixed point approach to the stability of an AQ-functional equation on β-Banach modules

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A fixed point approach to the stability of an AQ-functional equation on β-Banach modules

A fixed point approach to the stability of an AQ-functional equation on β-Banach modules

... such equation is called a quadratic functional ...Ulam stability of the quadratic functional Equation ...Hyers-Ulam stability pro- blem for the quadratic functional ... See full document

14

A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules

A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules

... Therefore, f satisfies (.). Now, we claim that the functional equation (.) is not stable for p =  in Corollary .. Suppose, on the contrary, that there exist an additive mapping A : C → C and a ... See full document

18

A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces

A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces

... The theory of modular spaces was, in fact, initiated by Nakano [25] and generalized by Musielak [24] and Orlicz [27]. for more, the reader is referred to [19, 20, 21, 22, 31, 33]. On the other hand, in 1942 a ... See full document

13

A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces

A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces

... The functional equation f(x + y) + f(x - y) = 2f(x) + 2f(y) is called a quadratic func- tional ...quadratic functional equation is said to be a quadratic ...Hyers-Ulam stability problem ... See full document

14

A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Functional Equation

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-Ulam stability or as Hyers-Ulam-Rassias stability of ... See full document

16

Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach

Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group homomorphisms. Hyers 2 gave a first affirmative partial answer to the question of ... See full document

11

A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation

A Fixed Point Approach to the Fuzzy Stability of an Additive-Quadratic-Cubic Functional Equation

... 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

24

Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras

Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras

... Hyers-Ulam stability of the functional equation (1.1) in Banach modules over a C ∗ ...Hyers-Ulam stability of the functional equation ...non-Archimedean ... See full document

10

A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution

A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution

... the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation ...complete β-normed ...Hyers-Ulam-Rassias stability approach for the ... See full document

11

A Fixed Point Approach to the Stability of a Quadratic Functional Equation in  Algebras

A Fixed Point Approach to the Stability of a Quadratic Functional Equation in Algebras

... the stability of group homomorphisms was proposed by Ulam 1: Under what conditions does there exist a group homomorphism near an approximately group homomorphism? In 1941, Hyers 2 considered the case of ... See full document

10

Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach

Stability of a generalized quadratic functional equation in various spaces: a fixed point alternative approach

... The stability problem of functional equations originated from the following question of Ulam [18]: Under what condition does there exist an additive mapping near an approximately additive mapping? In 1941, ... See full document

17

A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces

A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces

... Throughout this paper, assume that (X ,P) is a Fr´echet space and (Y, || · ||) is a Banach space. One can easily show that an odd mapping f : X → Y satisfies (11) if and only if the odd mapping f : X → Y is an ... See full document

30

Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods

Solution and Generalized Ulam-Hyers Stability of a n-Dimensional Additive Functional Equation in Banach Space and Banach Algebra: Direct and Fixed Point Methods

... Rassias approach. The stability problems of several functional equations have been extensively investigated by a number of authors and there are many interesting results concerning this problem (see ... See full document

16

Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach

Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: A Fixed Point Approach

... the fixed-point method in the study of Hyers-Ulam stability see also 22 ...the fixed-point method to the investigation of the Jensen functional equation see 23, 24 ... See full document

9

A Fixed Point Approach to the Stability of the Functional Equation

A Fixed Point Approach to the Stability of the Functional Equation

... the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation ...the fixed point method for studying the stability problems of ...the ... See full document

8

General Solution and Stability of Quattuordecic Functional Equation in Quasi β Normed Spaces

General Solution and Stability of Quattuordecic Functional Equation in Quasi β Normed Spaces

... the functional Equation ...the stability of Quattuordecic functional Equation (1) in quasi- β -normed spaces and we provide a counter example to show that the functional ... See full document

21

Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods

Generalized Ulam-Hyers Stability of two types of n-dimensional Quadratic functional equation in Banach Space: Direct and Fixed Point Methods

... Hyers-Ulam stability theorem for the quadratic functional equation ...a Banach space, the result of Skof is still true if the relevant domain ... See full document

8

Fuzzy Hyers Ulam approximation of a mixed AQ mapping

Fuzzy Hyers Ulam approximation of a mixed AQ mapping

... Corollary 3.4. Let X be a normed spaces and that (ℝ, N’) a fuzzy Banach space. Assume that there exist real numbers θ ≥ 0 and 0 <p < 1 such that an odd mapping f : X ® Y satisfies (3.12). Then there is a ... See full document

19

Fixed Points and Stability of the Cauchy Functional Equation in -Algebras

Fixed Points and Stability of the Cauchy Functional Equation in -Algebras

... The stability problem of functional equations originated from a question of Ulam 1 concerning the stability of group ...Hyers-Ulam stability of functional ...Rassias’ approach. ... See full document

14

Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces

Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces

... of stability is an important branch of the qualitative theory of functional ...of stability for a functional equation arises when one replaces a functional equation by an ... See full document

7

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