Results 11 to 20 of about 446,471 (361)

Quadratic--quartic functional equations in RN--spaces [PDF]

Journal of Inequalities and Applications, 2009
11 ...
M‎. ‎Eshaghi Gordji, M. Bavand Savadkouhi, C. Park   +2 more
openalex   +7 more sources

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   +4 more sources

Fuzzy Stability of a Quadratic-Additive Functional Equation [PDF]

International Journal of Mathematics and Mathematical Sciences, 2011
We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧+𝑤)+2𝑓(𝑥)+2𝑓(𝑦)+2𝑓(𝑧)+2𝑓(𝑤)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)−𝑓(𝑥+𝑤)−𝑓(𝑦+𝑧)−𝑓(𝑦+𝑤)−𝑓(𝑧+𝑤)=0.
Sun Sook Jin, Yang Hi Lee
doaj   +3 more sources

Jensen’s and the quadratic functional equations with an endomorphism [PDF]

Proyecciones (Antofagasta), 2017
We determine the solutions f : S → H of the generalized Jensen’s functional equation f (x + y) + f (x + φ(y)) = 2f (x),    x,y ∈ S,and the solutions f : S → H of the generalized quadratic functional equation f (x + y) + f (x + φ(y)) = 2f (x) + 2f (y), x,y ∈ S,where S is a commutative semigroup, H is an abelian group (2-torsion free in the first ...
Khalid Sabour, Samir Kabbaj
openalex   +4 more sources

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

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

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

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