Results 21 to 30 of about 166 (76)
Journal of Inequalities and Applications, 2012 In this paper, using fixed point methods, we prove the generalized Hyers-Ulam stability of random homomorphisms in random C∗-algebras and random Lie C∗-algebras and of derivations on non-Archimedean random C∗-algebras and non-Archimedean random Lie C ...
J. Kang, R. Saadati
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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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Some discrete Poincaré‐type inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 479-488, 2001., 2001 Some discrete analogue of Poincaré‐type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities.
Wing-Sum Cheung
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Fuzzy stabilities of a new hexic functional equation in various spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 The advantage of various fuzzy normed spaces is to analyse impreciseness and ambiguity that arise in modelling problems. In this paper, various classical stabilities of a new hexic functional equation in di erent fuzzy spaces like fuzzy Banach space ...
Dutta Hemen +2 more
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On the stability of generalized gamma functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 513-520, 2000., 2000 We obtain the Hyers‐Ulam stability and modified Hyers‐Ulam stability for the equations of the form g(x + p) = φ(x)g(x) in the following settings: |g(x + p) − φ(x)g(x) | ≤ δ, | g(x + p) − φ(x)g(x) | ≤ ϕ(x), | (g(x + p)/φ(x)g(x)) − 1 | ≤ ψ(x). As a consequence we obtain the stability theorems for the gamma functional equation.
Gwang Hui Kim
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APPROXIMATE QUADRATIC MAPPINGS IN MODULAR SPACES
, 2017 In this article, we investigate an alternative generalized Hyers–Ulam stability theorem of a modified quadratic functional equation in a modular space Xρ using ∆3-condition without the Fatou property on the modular function ρ. AMS Subject Classification:
H.-M. Kim, Y. S. Hong
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Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022 In this manuscript, we have studied the coupled system of Hilfer fractional differential equations with non-local conditions. We have used the Leray-alternative Schauder’s and the Contraction principle to obtain the results on the existence and ...
Dhawan Kanika +2 more
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Stability of generalized additive Cauchy equations
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 721-727, 2000., 2000 A familiar functional equation f(ax + b) = cf(x) will be solved in the class of functions f : ℝ → ℝ. Applying this result we will investigate the Hyers‐Ulam‐Rassias stability problem of the generalized additive Cauchy equation f(a1x1+⋯+amxm+x0)=∑i=1mbif(ai1x1+⋯+aimxm) in connection with the question of Rassias and Tabor.
Soon-Mo Jung, Ki-Suk Lee
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On a modified Hyers‐Ulam stability of homogeneous equation
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 3, Page 475-478, 1998., 1998 In this paper, a generalized Hyers‐Ulam stability of the homogeneous equation shall be proved, i.e., if a mapping f satisfies the functional inequality ‖f(yx) − ykf(x)‖ ≤ φ(x, y) under suitable conditions, there exists a unique mapping T satisfying T(yx) = ytT(x) and ‖T(x) − f(x)‖ ≤ Φ(x).
Soon-Mo Jung
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On a general Hyers‐Ulam stability result
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 229-236, 1995., 1995 In this paper, we prove two general theorems about Hyers‐Ulam stability of functional equations. As particular cases we obtain many of the results published in the last ten years on the stability of the Cauchy and quadratic equation.
Costanz Borelli, Gian Luigi Forti
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