Results 31 to 40 of about 767 (107)
Superstability of functional equations related to spherical functions
Open Mathematics, 2017 In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
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A Variant of D’Alembert’s Functional Equation on Semigroups with Endomorphisms
Annales Mathematicae Silesianae, 2022 Let S be a semigroup, and let φ, ψ: S → S be two endomorphisms (which are not necessarily involutive). Our main goal in this paper is to solve the following generalized variant of d’Alembert’s functional equation f(xϕ(y))+f(ψ(y)x)=2f(x)f(y), x,y ∈ S,
Akkaoui Ahmed +2 more
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Approximate Homomorphisms of Ternary Semigroups
, 2005 A mapping $f:(G_1,[ ]_1)\to (G_2,[ ]_2)$ between ternary semigroups will be called a ternary homomorphism if $f([xyz]_1)=[f(x)f(y)f(z)]_2$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of mappings of commutative semigroups into ...
A. Cayley +22 more
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Orthomaps on formally real simple Jordan algebras
Operators and Matrices, 2019 We characterize maps on finite-dimensional formally real simple Jordan algebras with the property φ(A◦B) = φ(A)◦φ(B) for all A,B . Although we do not assume additivity it turns out that every such map is either a real linear automorphism or a constant ...
G. Dolinar, B. Kuzma, N. Stopar
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Functional Equations and Fourier Analysis
, 2010 By exploring the relations among functional equations, harmonic analysis and representation theory, we give a unified and very accessible approach to solve three important functional equations -- the d'Alembert equation, the Wilson equation, and the d ...
Akkouchi +5 more
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Approximation of homomorphisms and derivations on Lie C∗-algebras via fixed point method
, 2013 In this paper, using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on C∗-algebras and Lie C∗-algebras for an m-variable additive functional equation.MSC:39A10 ...
Y. Cho, R. Saadati, Y. Yang
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Satbility of Ternary Homomorphisms via Generalized Jensen Equation
, 2005 In this paper, we establish the generalized Hyers--Ulam--Rassias stability of homomorphisms between ternary algebras associted to the generalized Jensen functional equation $r f(\frac{sx+ty}{r}) = s f(x) + t f(y)$.Comment: 12 ...
Moslehian, Mohammad Sal +1 more
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On the stability of ∗-derivations on Banach ∗-algebras
, 2012 In the current paper, we study the stability and the superstability of ∗-derivations associated with the Cauchy functional equation and the Jensen functional equation. We also prove the stability and the superstability of Jordan ∗-derivations on Banach ∗-
Choonkill Park, A. Bodaghi
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Approximation of quadratic Lie ∗-derivations on ρ-complete convex modular algebras
, 2020 In this paper, we investigate stable approximation of almost quadratic Lie ∗ -derivations associated with approximate quadratic mappings on ρ -complete convex modular algebras χρ by using Δ2 -condition via convex modular ρ.
Hark-Mahn Kim +2 more
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On a functional equation that has the quadratic-multiplicative property
Open Mathematics, 2020 In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation:ϕ(st−uv)+ϕ(sv+tu)=[ϕ(s)+ϕ(u)][ϕ(t)+ϕ(v)]\phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v ...
Park Choonkil +4 more
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