Results 41 to 50 of about 722 (111)
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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Jensen's functional equation on the symmetric group $\bold{S_n}$
, 2011 Two natural extensions of Jensen's functional equation on the real line are the equations $f(xy)+f(xy^{-1}) = 2f(x)$ and $f(xy)+f(y^{-1}x) = 2f(x)$, where $f$ is a map from a multiplicative group $G$ into an abelian additive group $H$.
C.T. Ng +6 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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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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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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Demonstratio Mathematica, 2020 In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]
Thanyacharoen Anurak +1 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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Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
Journal of Inequalities and Applications, 2011 In this paper, we prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces. 2010 Mathematics Subject Classification: 39B82; 39B52.
Shin Dong +4 more
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On the Cauchy--Rassias Inequality and Linear n-Inner Product Preserving Mappings
, 2005 We prove the Cauchy-Rassias stability of linear n-inner product preserving mappings in $n$-inner product Banach spaces. We apply the Cauchy-Rassias inequality that plays an influencial role in the subject of functional equations.
Baak, Choonkil +2 more
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