Results 11 to 20 of about 439,454 (357)

A variant of the quadratic functional equation on semigroups [PDF]

Proyecciones (Antofagasta), 2018
Let S be a semigroup, let H be an abelian group which is uniquely 2-divisible, and let σ be an involutive automorphism of S. We express the solutions f : S → H of the following variant of the quadratic functional equation f(xy) + f(σ(y)x) = 2f(x) + 2f(y), x, y ∈ S, in terms of bi-additive maps and solutions of the symmetrized additive Cauchy equation.
Fadli, B., Zeglami, D., Kabbaj, S.
openaire   +4 more sources

Approximate mixed type quadratic-cubic functional equation

AIMS Mathematics, 2021
In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation \begin{align*} 2f(2x+y)+2f(2x-y) = 4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y) \end{align*} in non-Archimedean $(n ...
Zhihua Wang
doaj   +2 more sources

Hyers-Ulam Stability of Functional Equation Deriving from Quadratic Mapping in Non-Archimedean n,β-Normed Spaces

Journal of Function Spaces, 2021
In this work, we have to introduce a generalized quadratic functional equation and derive its solution. The main objective of this work is to investigate the Hyers-Ulam stability of quadratic functional equation in non-Archimedean n,β-normed spaces.
Nazek Alessa, K. Tamilvanan, K. Loganathan, K. Kalai Selvi   +3 more
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Stability of an additive-quadratic-quartic functional equation

Demonstratio Mathematica, 2020
In this paper, we investigate the stability of an additive-quadratic-quartic functional ...
Kim Gwang Hui, Lee Yang-Hi
doaj   +4 more sources

Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces

AIMS Mathematics, 2020
In this paper, we introduce a mixed type finite variable functional equation deriving from quadratic and additive functions and obtain the general solution of the functional equation and investigate the Hyers-Ulam stability for the functional equation in
K. Tamilvanan, Jung Rye Lee, Choonkil Park   +2 more
doaj   +2 more sources

ON THE STABILITY OF A QUADRATIC FUNCTIONAL EQUATION

Journal of the Chungcheong Mathematical Society, 2012
In this paper, for any fixed integer $n\;>\;m\;{\geq}\;1$, we investigate the generalized Hyers-Ulam stability of the following quadratic functional equation in -Banach spaces, where $0\;
Won-Gil Park, Sang-Baek Lee, Mi Hyun Han
openaire   +3 more sources

Hyers-Ulam Stability of Quadratic Functional Equation Based on Fixed Point Technique in Banach Spaces and Non-Archimedean Banach Spaces

Mathematics, 2021
In this paper, the authors investigate the Hyers–Ulam stability results of the quadratic functional equation in Banach spaces and non-Archimedean Banach spaces by utilizing two different techniques in terms of direct and fixed point techniques.
K. Tamilvanan, A. Alanazi, M. Alshehri, Jeevan Kafle   +3 more
semanticscholar   +1 more source

Stability of a Quadratic Functional Equation

Advances in Dynamical Systems and Applications, 2021
This paper deals with the Ulam-Hyers stability of a quadratic functional equation using direct and fixed point methods in fuzzy normed space.
S. Karthikeyan, G. Ganapathy, P. Palani, M. Suresh, S. Jaikumar   +4 more
semanticscholar   +1 more source

Stability of maximum preserving quadratic functional equation in Banach lattices [PDF]

, 2016
We have posed a version of the Hyers-Ulam stability problem by substituting addition in the quadratic functional equation with the maximum operation, to be called maximum preserving functional equations.
Naeimeh Salehi, S. M. S. Modarres
openalex   +2 more sources

Characterization and stability analysis of advanced multi-quadratic functional equations

Advances in Difference Equations, 2021
In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable.
Abasalt Bodaghi, Hossein Moshtagh, Hemen Dutta   +2 more
doaj   +1 more source