[PDF] Top 20 A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces
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A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces
... which implies that ρ(A − A ∗ ) = 0 or A = A ∗ , since ρ(A − A ∗ ) < ∞. Therefore A is unique. Theorem 2.2. Let ∈ {−1, 1} be fixed. Let E be a linear space and (X, µ) a µ-complete β- homogeneous PM-space. ... See full document
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A fixed point approach to the Hyers Ulam stability of an AQ functional equation on β Banach modules
... equation: f(kx + ly) + f(kx – ly) = f (kx) + f (x) + 1 2 (k – 1)[(k + 2)f (x) + kf(–x)] + l 2 [f (y) + f(–y)] (k,l ∈ Z\{0}) in β -Banach modules on a Banach algebra. In addition, we show that under some suitable ... See full document
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A fixed point approach to the stability of an AQ-functional equation on β-Banach modules
... such equation is called a quadratic functional ...vector spaces is quadratic if and only if there exists a unique symmetric biadditive function B such that f (x) = B (x,x) for all x (see ...the ... See full document
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On the Probabilistic Stability of the 2-variable $k$-AC-mixed Type Functional Equation
... the stability of the linear transformation in Banach spaces, ...Zhang, Ulam-Hyers stability of a 2-variable AC-mixed type functional equation: direct and fixed ... See full document
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A fixed point approach to the stability of an additive cubic functional equation in paranormed spaces
... the Hyers stability by replacing the bound θ (||x|| p ||y|| q ) in [9], by a mixed one involving the product and sum of powers of norms, that is, θ {||x|| p ||y|| p + (||x|| 2p + ||y|| 2p ... See full document
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Stability of Functional Equations in Multi Banach Spaces via Fixed Point Approach
... In the last section, we prove the stability problem in the sense of Hyers-Ulam-Rassias for the functional equations 1.1 and 1.2 on Multi-Banach spaces by using fixed point approach.. We [r] ... See full document
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Approximation of a generalized Euler-Lagrange type additive mapping on Lie $C^{\ast}$-algebras
... generalized Hyers-Ulam stability of the functional equation ...generalized Hyers-Ulam stability of the functional equation ...Banach spaces by ... See full document
10
Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach
... a Hyers-Ulam-Rassias stability of functional ...The stability problems of several functional equations have been extensively investigated by a number of authors and there are ... See full document
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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
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Fuzzy Stability of Generalized Square Root Functional Equation in Several Variables: A Fixed Point Approach
... S.M. Ulam [45] concerning the stability of group homomorphisms gave rise to the stability problem of functional ...D.H. Hyers [23] did not go in vain because he was the first to come ... See full document
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Fuzzy Stability of the Pexiderized Quadratic Functional Equation: A Fixed Point Approach
... The fixed point alternative methods are implemented to give generalized Hyers-Ulam-Rassias stability for the Pexiderized quadratic functional equation in the fuzzy ...the ... See full document
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A fixed point theorem and the Hyers Ulam stability in Riesz spaces
... The Hyers-Ulam stability in Riesz spaces have already been studied in [] (with a direct method) and in [] (with an application of the spectral representation ...the stability ... See full document
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Orthogonal stability of an additive quartic functional equation with the fixed point alternative
... The stability problem of functional equations originated from the following question of Ulam [12]: Under what condition does there exist an additive mapping near an approximately additive mapping? In ... See full document
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Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... Normed Spaces, International Mathematical Forum, 4, 2009, ...D.H. Hyers, On the stability of the linear functional equation, ...D.H. Hyers, G. Isac, Th.M. Rassias, ... See full document
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
... general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of ... See full document
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Ulam - Hyers stability of a 2- variable AC - mixed type functional equation in quasi - beta normed spaces: direct and fixed point methods
... Dhombres, Functional Equations in Several Variables, Cambridge University Press, ...the stability of the linear transformation in Banach spaces, ...Zhang, Ulam - Hyers stability ... See full document
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Stability of a Mixed Type Functional Equation on Multi-Banach Spaces: 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 ... See full document
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A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
... normed spaces, non- Archimedean normed spaces, fuzzy normed spaces, functional equations, and fixed point ...the Hyers-Ulam stability of the ... See full document
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Functional equation originating from sum of higher powers of arithmetic progression using difference operator is stable in Banach space
... Cauchy functional equation in honor of ...additive functional equations is frequently applied to the development of theories of other functional ...additive functional equations are ... See full document
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Fixed Points, Inner Product Spaces, and Functional Equations
... 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 ... See full document
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