Results 11 to 20 of about 451,551 (359)

Intuitionistic Fuzzy Stability of a Quadratic Functional Equation [PDF]

Fixed Point Theory and Applications, 2010
We consider the intuitionistic fuzzy stability of the quadratic functional equation by using the fixed point alternative, where is a positive integer.
Wang Liguang
doaj   +3 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

Operatorial approach to the non-Archimedean stability of a Pexider K-quadratic functional equation

Arab Journal of Mathematical Sciences, 2015
We use the operatorial approach to obtain, in non-Archimedean spaces, the Hyers–Ulam stability of the Pexider K-quadratic functional equation∑k∈Kf(x+k·y)=κg(x)+κh(y),x,y∈E, where f,g,h:E→F are applications and K is a finite subgroup of the group of ...
A.B. Chahbi, A. Charifi, B. Bouikhalene, S. Kabbaj   +3 more
doaj   +2 more sources

Stability of a Generalized Trigonometric-Quadratic Functional Equation [PDF]

Journal of Function Spaces and Applications, 2013
Janyarak Tongsomporn, Vichian Laohakosol
doaj   +2 more sources

Hyers-Ulam Stability for a Class of Quadratic Functional Equations via a Typical Form [PDF]

Proceedings of the American Mathematical Society, 2013
We determine the general solution of the functional equation fxy, \[ f ( x + y 2 ) + f ( x −
Chang Il Kim, Gil-Jun Han, Seong-A Shim
openalex   +4 more sources

Stability of a Quadratic Functional Equation in the Spaces of Generalized Functions [PDF]

Journal of Inequalities and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Young‐Su Lee
openalex   +5 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

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

Characterization and Stability of Multi-Euler-Lagrange Quadratic Functional Equations

Journal of Function Spaces, 2022
The aim of the current article is to characterize and to prove the stability of multi-Euler-Lagrange quadratic mappings. In other words, it reduces a system of equations defining the multi-Euler-Lagrange quadratic mappings to an equation, say, the multi ...
Abasalt Bodaghi, Hossein Moshtagh, Amir Mousivand   +2 more
doaj   +1 more source

Ulam stability of an additive-quadratic functional equation in Banach spaces

Journal of Mathematical Inequalities, 2020
Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the following additive-quadratic functional equation f (x+ y,z+w)+ f (x− y,z−w)−2 f (x,z)−2 f (x,w) = 0.
I. Hwang, Choonkill Park
semanticscholar   +1 more source