Results 31 to 40 of about 166 (76)
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 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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Stability of an AQCQ functional equation in non-Archimedean (n, β)-normed spaces
Demonstratio Mathematica, 2019 In this paper, we adopt direct method to prove the Hyers-Ulam-Rassias stability of an additivequadratic-cubic-quartic functional ...
Liu Yachai, Yang Xiuzhong, Liu Guofen
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On the stability of an n-dimensional quadratic and additive functional equation
, 2006 In this paper, we investigate the generalized Hyers-Ulam stability problem of a quadratic and additive type functional equation f ( n ∑ i=1 xi ) + (n − 2) n ∑ i=1 f (xi) = ∑ 1 i 2) for the even or odd case in the n variables.
K. Jun, Hark-Mahn Kim
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Hyers-Ulam stability of quadratic forms in 2-normed spaces
Demonstratio Mathematica, 2019 In this paper, we obtain Hyers-Ulam stability of the functional ...
Park Won-Gil, Bae Jae-Hyeong
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Advanced Nonlinear Studies, 2020 In this paper, we investigate the existence of nontrivial solutions to the following fractional p-Laplacian system with homogeneous nonlinearities of critical Sobolev growth:
Lu Guozhen, Shen Yansheng
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On the Hyers-Ulam-Rassias stability of a general cubic functional equation
, 2003 In this paper, we solve the generalized Hyers-Ulam-Rassias stability problem for a cubic functional equation f (x + 2y) + f (x− 2y) + 6f (x) = 4f (x + y) + 4f (x− y) in the spirit of Hyers, Ulam, Rassias and Gǎvruta.
K. Jun, Hark-Mahn Kim
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HYERS-ULAM STABILITY OF QUADRATIC FUNCTIONAL EQUATIONS ON DIVISIBLE SQUARE-SYMMETRIC GROUPOID
, 2017 Let (X, ⋄) be a divisible square-symmetric groupoid, and (Y, ∗, d) a complete metric divisible square-symmetric groupoid. In this paper, we obtain the Hyers-Ulam stability problem of functional inequality d(f(x⋄y)∗f(x⋄y), σ∗(f(x)∗f(y))) ≤ ε(x, y) for ...
G. H. Kim, H.-Y. Shin
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On the Stability of Functional Equations with Square-Symmetric Operation
, 2001 In this paper, we obtain the modified Hyers-Ulam-Rassias stability for the family of functional equations f (x ◦ y) = H(f (x), f (y)) (x, y ∈ S) , where H is a homogeneous function and ◦ is a square-symmetric operation on the set S .
G. Kim
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Approximately algebraic tensor products
, 2015 Let X and Y be normed spaces over a complete field F with dual spaces X 0 and Y 0 respectively. Under certain hypotheses, for given x 2X , y 2 Y and a mapping u fromX 0 Y 0 to F , we apply Hyers–Ulam approach to find a unique bounded bilinear mapping v ...
I. Nikoufar, T. Rassias
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