Generalized Hyers-Ulam stability
Generalized Hyers-Ulam Stability of the Pexiderized Cauchy Functional Equation in Non-Archimedean Spaces
... of Hyers by weakening the condition for the Cauchy difference to be ...the stability problems of functional equations. The stability phenomenon that was introduced and proved by Rassias is called the ...
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Generalized Hyers-Ulam stability of second order linear ordinary differential equation with initial condition
... the Hyers-Ulam stability of differential ...the Hyers-Ulam stability of the differential equation y 0 = y: That if given ε > 0, f be a differentiable function on an open ...
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Generalized Hyers-Ulam Stability of a System of Bi-Reciprocal Functional Equations
... [16] E. Movahednia. Fixed point and generalized Hyers-Ulam-Rassias stability of a quadratic functional equation. Journal of Mathematics and Computer Science, 6:72–78, 2013. [17] A. Pietsch. ...
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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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On stability of functional equations related to quadratic mappings in fuzzy Banach spaces
... The generalized Hyers-Ulam stability problem for the quadratic functional equation ...the stability problem of the radical quadratic functional equations in various spaces was proved in ...
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A general theorem on the stability of a class of functional equations including monomial equations
... We combine Lemmas . and . in the following theorem to formulate the main theo- rem which is easily applicable. We here notice that conditions () and () are satisfied in usual cases provided we apply the direct ...
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Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach
... ρ i 6= 1 and s : X → R with X as space of non-negative real numbers and investigated generalized Hyers-Ulam stability of equation (2). It is easy to verify that the function f : X → R such ...
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Functional Inequalities Associated with Jordan von Neumann Type Additive Functional Equations
... G˘avrut¸a [10] provided a further generalization of Rassias’ theorem. During the last two decades, a number of papers and research monographs have been published on vari- ous generalizations and applications of the ...
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Approximate homomorphisms and derivations on random Banach algebras
... the Hyers-Ulam stability concept during the last three ...as generalized Hyers-Ulam stability or Hyers-Ulam-Rassias stability of functional equa- ...
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Hyers-Ulam-Rassias stability of nth order linear ordinary differential equations with initial conditions
... the Hyers-Ulam stability for second order linear differential equations with boundary conditions of the form y 00 + β ( x ) y ( x ) = ...the generalized superstability of nth order linear ...
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Fixed Points, Inner Product Spaces, and Functional Equations
... A generalized Hyers-Ulam stability problem for the quadratic functional equation was proved by Skof 6 for mappings f : X → Y , where X is a normed space and Y is a Banach ...the ...
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Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay
... G?. Hyers [10] gave a first affirmative partial answer to the question of Ulam for Banach spaces, he proved that each solution of the inequality kf (x + y) − f(x) − f (y)k ≤ ε, for all x and y, can be ...
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Superstability of Generalized Derivations
... of stability of functional equations started with a question of Ulam 1 in ...by Hyers 2 for Banach spaces. Aoki 3 provided a generalization of Hyers’ theorem for approximately additive ...4 ...
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A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution
... first stability problem concerning group homomorphisms was raised by Ulam 1 in 1940 and affirmatively answered by Hyers in ...of Hyers was generalized by Aoki 3 for additive mappings and ...
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On the generalized Hyers Ulam Rassias stability problem of radical functional equations
... the stability problem of functional equations originated from the question of Ulam [, ] concerning the stability of group ...famous Ulam sta- bility problem was partially solved by ...
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Hyers Ulam stability of a generalized additive set valued functional equation
... The stability problem of functional equations originated from a question of Ulam [] concerning the stability of group ...homomorphisms. Hyers [] gave the first affirmative partial answer to ...
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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, ...in generalized metric spaces to study the Hyers-Ulam ...
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Hyers Ulam stability of functional equations in matrix normed spaces
... mapping. Hyers [] gave the first affirmative partial answer to the question of Ulam for Banach ...spaces. Hyers’ theorem was generalized by Aoki [] for additive mappings and by Rassias [] ...
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Hyers Ulam Stability of a Generalized Second Order Nonlinear Differential Equation
... “Hyers-Ulam Stability of Nonhomo- geneous Linear Differential Equations of Second Order,” International Journal of Mathematics and Mathematical Sciences, ...“Hyers-Ulam Stability ...
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On the stability of linear differential equations of second order
... was generalized by Miura, Takahasi and Choda [19], by Miura [16], also by Takahasi, Miura and Miyajima ...the Hyers-Ulam stability of the differential equation y 0 (t) = λy(t), while Alsina ...
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