Results 161 to 170 of about 1,144 (174)

ON STABILITY OF A-QUARTIC FUNCTIONAL EQUATIONS IN RANDOM NORMED SPACES

jnanabha, 2023
In this paper, we shall prove the generalized Hyers-Ulam stability of the additive-quartic functional equation introduced by C. Muthamilarasi et al. [11] in Random Normed spaces by using direct and fixed-point methods.
Kumar, Manoj, Kumar, Anil, Amrit
openaire   +1 more source

On the stability problem for a mixed type of quartic and quadratic functional equation

Journal of Mathematical Analysis and Applications, 2006
Let E1 and E2 be real linear spaces. In this paper, we determine the general solution for a mixed type functional equation of a quartic and a quadratic mapping f:E1→E2,⊎x2,…,xnn−1f(x1)+2n−1(n−2)∑i=1nf(xi)=2n−2∑1⩽i2.
Kim, Hark-Mahn
exaly   +2 more sources

Stability of quartic functional equation in paranormed spaces

2021
In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.
Subramani, Karthikeyan, Park, Choonkil, Rassias, John   +2 more
openaire   +1 more source

General Solution and Stability of a Quartic Functional Equation

International Journal of Mathematics Trends and Technology, 2015
In this paper, authors areinvestigate the general solutions of a new Quartic functional ...
A. Ponmana selvan, J. Kappiyagi Edwin, S. Anish bal   +2 more
openaire   +1 more source

Fixed Points and Quartic Functional Equations in β-Banach Modules

Results in Mathematics, 2011
Based on the ideas of \textit{S. H. Lee}, \textit{S. M. Im} and \textit{I. S. Hwang} [J. Math. Anal. Appl. 307, No. 2, 387--394 (2005; Zbl 1072.39024)], who considered the quartic functional equation \[ f(2x+y) + f(2x-y) = 4[f(x+y) + f(x-y)] + 24f(x) - 6f(y) \eqno(1) \] and investigated general solutions and the Hyers-Ulam stability of that equation ...
Eshaghi Gordji, M., Khodaei, H., Najati, A.   +2 more
openaire   +2 more sources

Cubic-quartic functional equations in fuzzy normed spaces

2010
In this paper, we investigate the generalized Hyers-Ulam stability of the functional ...
Ghobadipour, N., Park, C.
openaire   +1 more source

Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations

Journal of Intelligent & Fuzzy Systems, 2016
The aim of this article is to extend the applications of a fixed point method to provide the intuitionistic fuzzy versions of Hyers-Ulam stability for the generalized forms of cubic and quartic functional equations. This way shows that the concept of stability is related to some fixed point of a suitable operator.
openaire   +2 more sources

Intuitionistic fuzzy stability of a quadratic and quartic functional equation

2010
In this paper, we prove the generalized Hyers-Ulam stability of a quadratic and quartic functional equation in intuitionistic fuzzy Banach spaces.
openaire   +1 more source

Stabilities and instabilities of an advanced quartic functional equation in various normed spaces

Mathematical Methods in the Applied Sciences, 2021
B V Senthil Kumar, Hemen Dutta, S Sabarinathan   +2 more
exaly  

On the stability of a quartic functional equation

Journal of Mathematical Analysis and Applications, 2008
Abbas Najati
exaly