Results 1 to 10 of about 24,903 (301)

Nearly Ternary Quadratic Higher Derivations on Non-Archimedean Ternary Banach Algebras: A Fixed Point Approach

Abstract and Applied Analysis, 2011
We investigate the stability and superstability of ternary quadratic higher derivations in non-Archimedean ternary algebras by using a version of fixed point theorem via quadratic functional equation.
M. Eshaghi Gordji, M. B. Ghaemi, J. M. Rassias, Badrkhan Alizadeh   +3 more
doaj   +1 more source

Stabilities and instabilities of additive-quadratic 3D functional equations in paranormed spaces

, 2022
S. Karthikeyan, T. R. K. Kumar, S. Vijayakumar, P. Palani   +3 more
openalex   +2 more sources

Orthogonal Stability of an Additive-Quadratic Functional Equation

Fixed Point Theory and Applications, 2011
Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj  

The system of mixed type additive-quadratic equations and approximations

Journal of Inequalities and Applications
In this article, we study the structure of a multiple variable mapping. Indeed, we reduce the system of several mixed additive-quadratic equations defining a multivariable mapping to obtain a single functional equation, say, the multimixed additive ...
Abasalt Bodaghi, Hesam Mahzoon, Nasser Mikaeilvand   +2 more
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Stability for the Mixed Type of Quartic and Quadratic Functional Equations

Journal of Function Spaces, 2014
We establish the general solutions of the following mixed type of quartic and quadratic functional equation: f(2x+y)+f(2x-y)=4f(x+y)+4f(x-y)+2f(2x)-8f(x)-6f(y).
Young-Su Lee, Soomin Kim, Chaewon Kim
doaj   +1 more source

On global attractivity of solutions of a functional-integral equation

Electronic Journal of Qualitative Theory of Differential Equations, 2007
We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
doaj   +1 more source

Generalized Jensen functional equation on restricted domain

Annals of the West University of Timisoara: Mathematics and Computer Science, 2014
We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional ...
Chahbi Abdellatif, Almahalebi Muaadh, Chari Ahmed, Kabbaj Samir   +3 more
doaj   +1 more source

Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces [PDF]

, 2012
Tian Zhou Xu, John Michael Rassias
openalex   +1 more source

Hyers -Ulam stability of quadratic functional equation

, 2020
Vediyappan Govindan, Sandra Pinelas
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Quadratic $\rho$-functional inequalities and equations

Journal of Nonlinear Analysis and Application, 2014
In this paper, we solve the quadratic $\rho$-functional inequalities where $\rho$ is a fixed complex number with $|\rho| where $\rho$ is a fixed complex number with $|\rho|< \frac{1}{2}$. Furthermore, we prove the Hyers-Ulam stability of the quadratic $\rho$-functional inequalities (0.1) and (0.2) in complex Banach spaces and prove the Hyers-Ulam ...
openaire   +1 more source