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Fixed points of a mapping and Hyers–Ulam stability
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Badora, Roman, Brzdȩk, Janusz
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Hyers–Ulam–Rassias Stability of an Equation of Davison
Journal of Mathematical Analysis and Applications, 1999 Let \(E_1\) be a normed algebra with a unit element, \(E_2\) be a Banach space and let \(f:E_1\rightarrow E_2\). In the paper the Hyers-Ulam-Rassias stability of the Davison functional equation \[ f(xy)+f(x+y)=f(xy+x)+f(y) \] is proved. As a consequence of the main theorem the authors obtain among others the following: Let \(\varepsilon\geq 0\) and \(p\
Jung, Soon-Mo, Sahoo, Prasanna K
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Hyers–Ulam–Rassias stability of a linear recurrence
Journal of Mathematical Analysis and Applications, 2005 The author considers a linear recurrence \[ x_{n+1}=a_nx_n+b_n,\qquad n\geq 0,\;x_0\in X \] where \((x_n)\) is a sequence in a Banach space \(X\) and \((a_n)\), \((b_n)\) are given sequences of scalars and vectors in \(X\), respectively. Then, a stability result is proved: Suppose that \(\varepsilon>0\), \(| a| >1\) and an arbitrary sequence \((b_n ...
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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator [PDF]
, 2018 Hasib Khan +4 more
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On the Hyers–Ulam stability of the linear differential equation
Journal of Mathematical Analysis and Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Popa, Dorian, Raşa, Ioan
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Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation
Fractal and FractionalThis article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady +3 more
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"Hyers-Ulam stability of hom-derivations in Banach algebras"
, 2022 THANASAK MOUKTONGLANG +2 more
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Hyers–Ulam stability of Sahoo–Riedel’s point
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lee, W., Xu, S., Ye, F.
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