Quadratic--quartic functional equations in RN--spaces
Functional Analysis
2009-03-09 v1
Abstract
In this paper, we obtain the general solution and the stability result for the following functional equation in random normed spaces (in the sense of Sherstnev) under arbitrary t-norms f(2x+y)+f(2x−y)=4[f(x+y)+f(x−y)]+2[f(2x)−4f(x)]−6f(y).
Cite
@article{arxiv.0903.1160,
title = {Quadratic--quartic functional equations in RN--spaces},
author = {M. Eshaghi Gordji and M. Bavand Savadkouhi and C. Park},
journal= {arXiv preprint arXiv:0903.1160},
year = {2009}
}
Comments
11 pages
Related papers
View all related →
Functional Analysis · Mathematics
Stability of a functional equation deriving from quartic and additive functions
M. Eshaghi Gordji
2008-12-31
Functional Analysis · Mathematics
Stability of a functional equation deriving from cubic and quartic functions
M. Eshaghi Gordji, A. Ebadian, S. Zolfaghari
2008-12-31
Functional Analysis · Mathematics
On the stability of generalized mixed type quadratic and quartic functional equation in quasi-Banach spaces
S. Abbaszadeh, M. Eshaghi Gordji
2008-12-31
Functional Analysis · Mathematics
The stability of a quadratic type functional equation with the fixed point alternative
M. Eshaghi Gordji, H. Khodaei
2008-12-31
Functional Analysis · Mathematics
Stability of a mixed type quadratic, cubic and quartic functional equation
M. Eshaghi Gordji, S. Kaboli, S. Zolfaghari
2008-12-30
Functional Analysis · Mathematics
Stability of cubic and quartic functional equations in non-Archimedean spaces
M. Eshaghi Gordji, M. Bavand Savadkouhi
2008-12-31
Functional Analysis · Mathematics
Fuzzy stability of additive--quadratic functional equations
M. Eshaghi Gordji, N. Ghobadipour, J. M. Rassias
2009-03-05
Functional Analysis · Mathematics
Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
M. Eshaghi Gordji, H. Khodaei
2008-12-17
Functional Analysis · Mathematics
Fuzzy almost quadratic functions
A. K. Mirmostafaee, M. S. Moslehian
2021-07-23
Functional Analysis · Mathematics
Approximately Quadratic Mappings on Restricted Domains
Abbas Najati And Soon-Mo Jung
2011-01-07
Classical Analysis and ODEs · Mathematics
On the Fuzzy Stability of an Affine Functional Equation
Md. Nasiruzzaman
2015-06-09
Functional Analysis · Mathematics
Stability of generalized mixed type additive-quadratic-cubic functional equation in non-Archimedean spaces
M. Eshaghi Gordji, M. Bavand Savadkouhi, Th. M. Rassias
2009-10-08
Functional Analysis · Mathematics
Further stability results of the functional equation $f(2x+y)+f\left(\frac{x+y}{2}\right) =\frac{2f(x)f(y)}{f(x)+f(y)}+\frac{2f(x+y)f(y-x)}{3f(y-x)-f(x+y)}$
Idir Sadani
2022-05-06
Classical Analysis and ODEs · Mathematics
On approximate cubic homomorphisms
M. Eshaghi Gordji, M. Bavand Savadkouhi
2009-03-09
Functional Analysis · Mathematics
Solution and Stability of a Mixed Type Functional Equation
Pasupathi Narasimman, Abasalt Bodaghi
2015-06-23
Probability · Mathematics
A note on second order linear functional equations in random normed spaces
Mongkhon Tuntapthai
2019-11-15
Functional Analysis · Mathematics
Stability of a new generalized reciprocal type functional equation
Idir Sadani
2022-06-09
Functional Analysis · Mathematics
A Fixed Point Approach to Stability of a Quadratic Equation
M. Mirzavaziri, M. S. Moslehian
2021-07-23
Classical Analysis and ODEs · Mathematics
Solutions and stability of variant of Wilson's functional equation
Elqorachi Elhoucien, Redouani Ahmed
2015-05-26
Functional Analysis · Mathematics
Ulam stability of an additive-quadratic functional equation in F-space and quasi-Banach spaces
Linlin Fu, Qi Liu, Yongjin Li
2022-03-08
Commutative Algebra · Mathematics
The stability of a Cosine-Sine Functional Equation on abelian groups
Ajebbar Omar, Elqorachi Elhoucien, Themistocles M. Rassias
2018-10-25
Functional Analysis · Mathematics
Stability of Euler-Lagrange type cubic functional equations in quasi-Banach spaces
Wutiphol Sintunavarat, Nguyen Van Dung, Anurak Thanyacharoen
2019-06-10
Classical Analysis and ODEs · Mathematics
Remarks on the Cauchy functional equation and variations of it
Daniel Reem
2017-04-26
Functional Analysis · Mathematics
Hyers-Ulam Stability of Quadratic Operators in Locally Convex Cones
J. -H. Bae, J. Mohammadpour, A. Najati
2025-08-19
Functional Analysis · Mathematics
Stability of Generalized Jensen Equation on Restricted Domains
Soon-Mo Jung, Mohammad Sal Moslehian, Prasanna K. Sahoo
2021-07-23