Results 51 to 60 of about 349 (66)

Intuitionistic fuzzy almost Cauchy–Jensen mappings

Demonstratio Mathematica, 2016
In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable f(∑i=1paixi)=∑i=1paif(xi)$f\left(\sum\nolimits_{i = 1}^p {a_i x_i } \right) = \sum\nolimits_{i = 1}^p {a_i f(x_i )}$ in an ...
Gordji M. E., Abbaszadeh S.
doaj   +1 more source

Hyers-Ulam stability of Davison functional equation on restricted domains

Demonstratio Mathematica
In this article, we study the Hyers-Ulam stability of Davison functional equation f(xy)+f(x+y)=f(xy+x)+f(y)f\left(xy)+f\left(x+y)=f\left(xy+x)+f(y) on some unbounded restricted domains.
Park Choonkil, Tareeghee Mohammad Amin, Najati Abbas, Noori Batool   +3 more
doaj   +1 more source

On the Mazur--Ulam theorem in fuzzy n--normed strictly convex spaces

, 2009
In this paper, we generalize the Mazur--Ulam theorem in the fuzzy real n-normed strictly convex spaces.Comment: 7 ...
Abbaszadeh, S., Gordji, M. Eshaghi, Rassias, Th. M.   +2 more
core   +1 more source

Orthogonal stability of mixed type additive-cubic functional equations in multi-Banach spaces

Demonstratio Mathematica, 2018
In this paper, we establish the Hyers-Ulam orthogonal stability of the mixed type additive-cubic functional equation in multi-Banach spaces.
Murali Ramdoss, Pinelas Sandra, Raj Aruldass Antony   +2 more
doaj   +1 more source

Approximate multi-Cauchy mappings on certain groupoids

Open Mathematics
In this article, we give a representation of multi-Cauchy mappings on groupoids as an equation and then establish the (Hyers and Găvruţa) stability of such mappings on groupoids.
Park Choonkil, Bodaghi Abasalt, Donganont Mana   +2 more
doaj   +1 more source

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

On the sum form functional equation related to diversity index

Demonstratio Mathematica
The focal point of this article is to study a functional equation of sum form involving four unknown mappings. We primarily concentrate on exploring all possible solutions of the equation.
Singh Dhiraj Kumar, Grover Shveta
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