Results 221 to 230 of about 6,753 (236)

Hyers–Ulam–Rassias Stability on Amenable Groups

2016
In this chapter, we study the Ulam–Hyers–Rassias stability of the generalized cosine-sine functional equation: $$\displaystyle{\int _{K}\int _{G}f(xtk \cdot y)d\mu (t)dk = f(x)g(\,y) + h(\,y),\;x,y \in G,}$$ where f, g, and h are continuous complex valued functions on a locally compact group G, K is a compact subgroup of morphisms of G, dk is ...
Mohamed Akkouchi, Elhoucien Elqorachi, Khalil Sammad   +2 more
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On Hyers-Ulam-Rassias stability of functional equations

Acta Mathematica Sinica, English Series, 2008
Let \(G_1\) and \(G_2\) be two groups. We say that \(f, g, h, p, q :G_1\to G_2\) are the pseudo-additive mappings of the mixed quadratic and Pexider type in \(G_1\) if \[ f(x+y+z)+g(x+y)-h(x)-p(y)-q(z)=0 \] for all \(x, y, z \in G_1.\) In this paper the author investigates the Hyers-Ulam-Rassias stability of the functional equation above.
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On the Hyers-Ulam-Rassias Stability of Mappings

1998
We give an answer to a question of Hyers and Rassias [5] concerning the stability of mappings.
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Hyers–Ulam–Rassias Stability of Derivations in Proper JCQ*–triples

Mediterranean Journal of Mathematics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eskandani, Golamreza Zamani, Rassias, Themistocles M.   +1 more
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On the Hyers-Ulam-Rassias Stability of a Functional Equation

2003
In this paper, we will introduce a new functional equation f (x 1, y 1) f (x 2, y 2) = f (x 1 x 2+ y 1 y 2, x 1 y 2 − y 1 x 2), which is strongly related to a well known elementary formula of number theory, and investigate the solutions of the equation. Moreover, we will also study the Hyers—Ulam—Rassias stability of that equation.
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Hyers-Ulam-Rassias Stability for a Multivalued Iterative Equation

Acta Mathematica Scientia, 2008
Abstract Because multifunctions do not have so good properties as single-valued functions, only the existence of solutions of the polynomial-like iterative equation of order 2 is discussed for multifunctions. This article gives conditions for its Hyers-Ulam-Rassias stability.
Zhang Wanxiong, Xu Bing
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A generalization of the Hyers--Ulam--Rassias stability of the beta functional equation

Publicationes Mathematicae Debrecen, 2001
A functional equation \(E[h]=0\) is Hyers-Ulam-Rassias(-Găvruta)-stable if, given a function \(\phi,\) there exists a function \(\Phi\) such that \(|E[f]|\leq\phi\) implies the existence of a unique \(g\) for which \(E[g]=0\) and \(|f-g|\leq\Phi\); cf. \textit{D. H. Hyers} [Proc. Nat. Acad. Sci. U.S.A. 27, 222-224 (1941; Zbl 0061.26403)], \textit{S. M.
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Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

, 2011
Soon-Mo Jung
semanticscholar   +1 more source

(2005-5867) Hyers-Ulam-Rassias stability of quaternion multidimensional fuzzy nonlinear difference equations with impulses

, 2021
Z. Li, Chao Wang, R. Agarwal, R. Sakthivel   +3 more
semanticscholar   +1 more source

Hyers–Ulam–Rassias Stability of Orthogonal Additive Mappings

2012
In this paper, we give an introduction to the Hyers–Ulam–Rassias stability of orthogonally additive mappings. The concept of Hyers–Ulam–Rassias stability originated from Th.M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Am. Math. Soc. 72:297–300, 1978.
P. Găvruţa, L. Găvruţa
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