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Hyers-Ulam-Rassias

Hyers Ulam Rassias stability of Jordan homomorphisms on Banach algebras

Hyers Ulam Rassias stability of Jordan homomorphisms on Banach algebras

... In this paper, we have proved the Hyers-Ulam-Rassias stability of Jordan homomor- phisms for p ∈ R \ { 1 } . On the other hand, ˇSemrl [10] gave an example that the stability result fails for p = 1: ...

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Hyers Ulam Rassias Stability of Orthogonal Quadratic Functional Equation

Hyers Ulam Rassias Stability of Orthogonal Quadratic Functional Equation

... D f x y  f x  y  f x  y  f x (1.1) is called as quadratic functional equation. In 2008, W. Towanlong and P. Nakmahachalasiant [25] established the general solution and proved the ...

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Hyers Ulam Rassias stability of generalized module left (m,n) derivations

Hyers Ulam Rassias stability of generalized module left (m,n) derivations

... In the last few decades, the stability problem of several functional equations has been extensively studied by many authors. For the history and various aspects of the theory, we refer to monographs [–]. We also refer ...

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Hyers Ulam Rassias and Ulam Gavruta Rassias Stabilities of an Additive Functional Equation in Several Variables

Hyers Ulam Rassias and Ulam Gavruta Rassias Stabilities of an Additive Functional Equation in Several Variables

... of Hyers-Ulam-Rassias stability was originated by ...M. Rassias (1978) and the concept of Ulam-Gavruta-Rassias stability was originated by ...M. Rassias (1982–1989) and by ...

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Hyers Ulam Rassias stability of generalized derivations

Hyers Ulam Rassias stability of generalized derivations

... Găvruţa, A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings, Journal of Mathematical Analysis and Applications 184 1994, no.. Hvala, Generalized de[r] ...

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Hyers Ulam Rassias Stability for the Heat Equation

Hyers Ulam Rassias Stability for the Heat Equation

... the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings,” Journal of Mathematical Analysis and Applications, ...the Hyers-Ulam-Rassias Stability of Ap- ...

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A new method for the generalized Hyers-Ulam-Rassias stability

A new method for the generalized Hyers-Ulam-Rassias stability

... give Hyers-Ulam stability results for a nonlinear functional ...for Hyers-Ulam- Rassias stability, ...the Hyers-Ulam stability for two functional equations in a single ...

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Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay

Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay

... the Hyers theorem (Hyers-Ulam-Rassias stability ...terminologies Hyers-Ulam stability and Hyers-Ulam-Rassias stability can also be applied to the case of ...

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Non Archimedean Hyers Ulam Rassias stability of m variable functional equation

Non Archimedean Hyers Ulam Rassias stability of m variable functional equation

... In this section, using a fixed point alternative approach, we prove the generalized Hyers- Ulam stability of the functional equation (.) in non-Archimedean normed spaces. Throughout this section, let X be ...

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On the generalized Hyers Ulam Rassias stability problem of radical functional equations

On the generalized Hyers Ulam Rassias stability problem of radical functional equations

... 3. Hyers, DH: On the stability of the linear functional ...6. Rassias, TM ...7. Rassias, TM: On the stability of functional equations and a problem of ...8. Rassias, TM: On the stability of ...

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4. On the Hyers-Ulam-Rassias stability of a pexider Hosszus  functional equation

4. On the Hyers-Ulam-Rassias stability of a pexider Hosszus functional equation

... In 1941, this problem was solved by D. H. Hyers [6] for the first time. This problem has been further generalized and solved by Th. M. Rassias [13]. Thereafter, the stability problem of functional equations ...

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stability of the quadratic functional
equation

stability of the quadratic functional equation

... Our results are organized as follows: In section 2, we determine the general solution of the functional equation (1.5). In section 3, we prove the Hyers-Ulam-Rassias sta- bility of the equation (1.5) ...

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On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

... We study the following generalized additive functional inequality afx bfy cfz ≤ fαx βy γz, associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Rassias stability of the ...

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General Stability of a Reciprocal Type Functional Equation in Three Variables

General Stability of a Reciprocal Type Functional Equation in Three Variables

... Th.M. Rassias have exercised a delectable influence on the development of what is addressed as the generalized Hyers-Ulam-Rassias stability of functional ...Th.M. Rassias was advocated ...

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Approximation of linear mappings in Banach modules over C∗ algebras

Approximation of linear mappings in Banach modules over C∗ algebras

... 3. Hyers, DH: On the stability of the linear functional ...5. Rassias, TM: On the stability of the linear mapping in Banach ...the Hyers-Ulam-Rassias stability of approximately additive ...

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Stability of a Bi Jensen Functional Equation II

Stability of a Bi Jensen Functional Equation II

... Găvruta, “A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings,” Journal of Mathematical Analysis and Applications, vol.. Park, “On the solution of a [r] ...

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On the stability of the heat equation with an initial condition

On the stability of the heat equation with an initial condition

... 4. Hyers, DH: On the stability of the linear functional ...5. Hyers, DH, Isac, G, Rassias, TM: Stability of Functional Equations in Several ...S-M: Hyers-Ulam-Rassias Stability ...

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

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

... by Ulam 1 in 1940 and affirmatively answered by Hyers in ...of Hyers was generalized by Aoki 3 for additive mappings and by Rassias 4 for linear mappings by considering an unbounded Cauchy ...of ...

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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 Hyers-Ulam-Rassias stability of C ∗ -algebra homomorphisms and of generalized derivations on C ∗ -algebras for the following Cauchy-Jensen functional equation 2fx y/2 z fx fy 2fz, which was ...

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quintic functional equation and a general sextic

quintic functional equation and a general sextic

... Rassias, On the stability of the linear mapping in Banach spaces , Proc. Chang, The Hyers-Ulam-Rassias stability of[r] ...

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