Results 81 to 90 of about 601 (125)

Approximation of additive functional equations in NA Lie C*-algebras

Demonstratio Mathematica, 2018
In this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional ...
Wang Zhihua, Saadati Reza
doaj   +1 more source

The stability of functional equation min{f(x + y), f(x - y)} = |f(x) - f(y)|

Journal of Inequalities and Applications, 2011
In this paper, we prove the stability of the functional equation min {f(x + y), f(x - y)} = |f(x) - f(y)| in the class of real, continuous functions of real variable.
Przebieracz Barbara
doaj  

On superstability of derivations in Banach algebras

Open Mathematics
In this article, we consider some types of derivations in Banach algebras. In detail, we investigate the question of whether the superstability can be achieved under some conditions for some types of derivations, such as Jordan derivations, generalized ...
Chang Ick-Soon, Kim Hark-Mahn, Roh Jaiok
doaj   +1 more source

Zygfryd Kominek, a Mathematician, a Teacher, a Friend

Annales Mathematicae Silesianae, 2020
Sablik Maciej
doaj   +1 more source

On asymptotic behaviors of a specific cubic functional equation and its hyperstability

Demonstratio Mathematica
In this article, the asymptotic behavior and hyperstability of the cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) $$f\left(2x+y\right)+f\left(2x-y\right)=2f\left(x+y\right)+2f\left(x-y\right)+12f\left(x\right)$$ are discussed.
Bae Jae-Hyeong, Najati Abbas, Tareeghee Mohammad Amin   +2 more
doaj   +1 more source

Fixed point approaches to the stability of Jensen’s functional equation

Open Mathematics
We will investigate the stability problem of the Jensen’s functional equation using Brzdȩk fixed point theorem and fixed point alternative method on non-Archimedean fuzzy normed spaces.
Kang Dongseung, Koh Heejeong
doaj   +1 more source

On the Ulam-type stability of impulsive differential equations with multiple time delays

Arab Journal of Basic and Applied Sciences
In this article, we conduct a rigorous analysis of the Ulam-type stability of first-order impulsive delay differential equations (IP-D-D-Es) with multiple time-dependent delays.
Cemil Tunç, Osman Tunç
doaj   +1 more source

Local stability of the Pexiderized Cauchy and Jensen's equations in fuzzy spaces

Journal of Inequalities and Applications, 2011
Lex X be a normed space and Y be a Banach fuzzy space. Let D = {(x, y) ∈ X × X : ||x|| + ||y|| ≥ d} where d > 0. We prove that the Pexiderized Jensen functional equation is stable in the fuzzy norm for functions defined on D and ...
Kang Jung Im, Cho Yeol Je, Najati Abbas
doaj  

Non-Archimedean stabilities of multiplicative inverse µ-functional inequalities

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This study is motivated through the interesting non-Arcchimedean stability results of ρ-inequalities and ρ-equations arising from linear, second power, third power and fourth power mappings.
Dutta Hemen, Senthil Kumar B. V., Suresh S.   +2 more
doaj   +1 more source

A general theorem on the stability of a class of functional equations including quadratic-additive functional equations. [PDF]

Springerplus, 2016
Lee YH, Jung SM.
europepmc   +1 more source