Results 41 to 50 of about 566 (104)
Hyers-Ulam stability of isometries on bounded domains-II
Demonstratio Mathematica, 2023 The question of whether there is a true isometry approximating the ε\varepsilon -isometry defined in the bounded subset of the nn-dimensional Euclidean space has long been considered an interesting question.
Choi Ginkyu, Jung Soon-Mo
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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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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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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi‐β‐Banach spaces and quasi‐fuzzy β‐Banach spaces by means of direct method as well as quasi‐Banach spaces by means ...
Kandhasamy Tamilvanan +5 more
wiley +1 more source
HYERS-ULAM STABILITY OF A PERTURBED GENERALISED LIENARD EQUATION
International Journal of Apllied Mathematics, 2019 In this paper, we consider the Hyers-Ulam stability of a perturbed generalized Lienard equation, using a nonlinear extension of Gronwall-Bellman integral inequality called the Bihari integral inequality.
I. Fakunle, P. Arawomo
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On a type of exponential functional equation and its superstability in the sense of Ger [PDF]
, 2013 In this paper, we deal with a type exponential functional equation as follows $$f(xy)=f(x)^{g(y)},$$ where $f$ and $g$ are two real valued functions on a commutative semigroup.
Alimohammady, M. +2 more
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Stability Results for Some Functional Equations on 2‐Banach Spaces With Restricted Domains
Journal of Mathematics, Volume 2025, Issue 1, 2025.We have a normed abelian group G,.∗,+ and a 2‐pre‐Hilbert space Y with linearly independent elements u and v. Our goal is to prove that any odd map f:G⟶Y satisfying the inequality ‖f(x) + f(y), z‖ ⩽ ‖f(x + y), z‖, z ∈ {u, v}, for all x,y∈G with ‖x‖∗ + ‖y‖∗ ≥ d and some d ≥ 0, is additive. Then, we examined the stability issue correlated with Cauchy and
M. R. Abdollahpour +3 more
wiley +1 more source
On Almost Everywhere K-Additive Set-Valued Maps
Annales Mathematicae SilesianaeLet X be an Abelian group, Y be a commutative monoid, K ⊂Y be a submonoid and F : X → 2Y \ {∅} be a set-valued map. Under some additional assumptions on ideals ℐ1 in X and ℐ2 in X2, we prove that if F is ℐ2-almost everywhere K-additive, then there ...
Jabłońska Eliza
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Hyers-Ulam stability of functional equations in matrix normed spaces
, 2013 In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional equation and the quadratic functional equation in matrix normed spaces.MSC:47L25, 39B82, 46L07, 39B52.
Jung Rye Lee, D. Shin, Choonkill Park
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Exact eigenvalue assignment of linear scalar systems with single delay using Lambert W function
, 2018 Eigenvalue assignment problem of a linear scalar system with a single discrete delay is analytically and exactly solved. The existence condition of the desired eigenvalue is established when the current and delay states are present in the feedback loop ...
Huang, Huang-Nan, Yong, Chew Chun
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