Hyers-ulam-rassias Stability
Hyers Ulam Rassias stability of Jordan homomorphisms on Banach algebras
... We prove that a Jordan homomorphism from a Banach algebra into a semisimple com- mutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the ...
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Hyers Ulam Rassias Stability of Orthogonal Quadratic Functional Equation
... the Hyers-Ulam-Rassias stability of the quadratic functional equation ...orthogonal stability of the quadratic functional equation ...
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Hyers Ulam Rassias stability of generalized module left (m,n) derivations
... the stability of derivations was first investigated by Jun and Park ...The stability result concerning derivations between operator algebras was first obtained by Šemrl ...the stability of module left ...
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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 ...
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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 ...
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Hyers Ulam Rassias Stability for the Heat Equation
... the Hyers-Ulam-Rassias stability for one dimensional heat equa- tion on an infinite ...the stability of heat equation in with initial condition, in the sense of ...modified ...
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4. On the Hyers-Ulam-Rassias stability of a pexider Hosszus functional equation
... H. Hyers [6] for the first ...M. Rassias [13]. Thereafter, the stability problem of functional equations has been extended in various directions and studied by several mathematicians (see [1, 2, 3, ...
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On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... 3. Hyers, DH: On the stability of the linear functional ...the stability of the linear transformation in Banach ...6. Rassias, TM ...7. Rassias, TM: On the stability of ...
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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, ...
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Hyers Ulam Rassias stability of generalized derivations
... the stability of functional equations is as follows: when is it true that a map- ping satisfying a functional equation approximately must be close to an exact solution of the given functional ...
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On the Stability of Generalized Additive Functional Inequalities in Banach Spaces
... the Hyers-Ulam-Rassias stability of the above generalized additive functional inequality, associated with linear mappings in Banach ...
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stability of the quadratic functional equation
... The terminology Hyers-Ulam-Rassias stability originates from these historical back- grounds. Since then, a great deal of works has been published by a number of mathematicians for other ...
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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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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 ...
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On the Stability of a New Pexider Type Functional Equation
... which is mixed of a quadratic and an additive functional equations. In this paper, we establish the generalized Hyers-Ulam-Rassias stability for 1.6 on the punctured domain V \ {0} and obtain ...
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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 ...
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Ternary (\sigma,\tau,\xi)-derivations on Banach ternary algebras
... M. Rassias [48] generalized the theorem of Hyers by considering the stability problem with unbounded Cauchy ...of stability that was introduced by Th. M. Rassias [48] is called the ...
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Approximation of linear mappings in Banach modules over C∗ algebras
... 3. Hyers, DH: On the stability of the linear functional ...the stability of the linear transformation in Banach ...5. Rassias, TM: On the stability of the linear mapping in Banach ...
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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 ...
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Isomorphisms in unital $C^*$-algebras
... called Hyers-Ulam-Rassias stability or generalized Hyers-Ulam stability of functional ...the stability of the equation of homomorphism, ...
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