Stability of Functional Equation
Hyers-Ulam stability of K-Fibonacci functional equation
... The stability of functional equation originated from an equaton of Ulam [11] concerning the stability of group ...the stability problems of functional equations have been ...
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On the Stability of Quadratic Functional Equation
... the stability of group homomorphism “Under what conditions does there is an additive mapping near an approximately additive mapping between a group and a metric group ...the stability problem of Ulam under ...
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STABILITY OF A FUNCTIONAL EQUATION IN COMPLEX BANACH SPACES
... f ( 2 x + y ) + f ( x + 2 y ) = 4 f ( x + y ) + f ( x ) + f ( y ) (1.2) in Banach spaces, which is also a quadratic and equivalent to (1.1). Furthermore they investigated the general solution and generalized Hyers-Ulam ...
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Hyers Ulam stability of Butler Rassias functional equation
... in the last inequality, we conclude that our assertion is true. Remark 3.2. If we set d = 0 in the Butler-Rassias functional equation (1.1), then the equa- tion is called the exponential functional ...
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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 ...local stability of the additive equation for more general cases and applied the result ...
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New Type of Quadratic Functional Equation and Its Stability
... functional equation. In particular, every solution of the quadratic functional equation is said to be quadratic ...of stability theory of functional equations for the proof of ...
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Stability of an AQCQ functional equation 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 ...
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Stability of a functional equation connected with Reynolds operator
... the functional equation F(x ◦ g(y)) – F(x)F(y) = 0 with bounded difference (Najdecki in ...the stability of the above functional equation with unbounded ...
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Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions
... The functional equation 1.1 was first solved by Kannappan 15. In fact, he proved that a function on a real vector space is a solution of 1.1 if and only if there exist a symmetric biadditive function B and ...
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Fuzzy stability of a mixed type functional equation
... f (x + y + z) − f (x + y) − f (y + z) − f (x + z) + f (x) + f (y) + f (z) = 0. (1:3) which is called a mixed type functional equation. We say a solution of (1.3) a quad- ratic-additive mapping. In 2002, ...
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Superstability and Stability of the Pexiderized Multiplicative Functional Equation
... for all x, y ∈ S and for a function ϕ : S × S → 0, ∞ with some coditions, then g is bounded or else g is an exponential and h h1g. This is a generalization of the result of Sz´ekelyhidi. Also we investigate the ...
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Functional Equation and Its Hyers Ulam Stability
... Remark 3.2. The functional equation 1.7 is a particular case of the linear equations of higher orders and the Hyers-Ulam stability of the linear equations has been proved in 21, Theorem 2. Indeed, ...
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Fuzzy Stability of an Additive Quadratic Quartic Functional Equation
... Hyers-Ulam stability of the quadratic functional ...The stability problems of several functional equations have been extensively investigated by a number of authors and there are many ...
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Fixed Points and Stability of a Generalized Quadratic Functional Equation
... Ulam stability of A-quadratic mappings in Banach A-modules associated with the functional equation ...of stability theory of functional equations for the proof of new fixed point ...
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Fuzzy Hyers Ulam stability of an additive functional equation
... Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof [5] for mappings f : X ® Y, where X is a normed space and Y is a Banach ...Ulam stability of the quadratic ...
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Intuitionistic fuzzy stability of a quadratic and quartic functional equation
... mixed functional equations have recently been obtained by Najati ...fuzzy stability of a mixed type of additive and quadratic functional equation by Park ...
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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 ...
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On the stability of a mixed type functional equation in generalized functions
... that stability problems of var- ious functional equations have been extensively studied and generalized by a number of authors (see ...following functional equation with n-independent ...
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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 ...
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On the Stability of a New Pexider Type Functional Equation
... Hyers-Ulam-Rassias stability see also 4, ...Hyers-Ulam-Rassias stability of the Pexider equation of fx y gx ...Quadratic functional equation was used to characterize inner product ...
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