Results 71 to 80 of about 547 (94)

Stability of functional equation obtained through a fixed-point alternative in intuitionistic fuzzy normed spaces

, 2012
In this paper, we determine the stability of a generalized Hyers-Ulam-Rassias-type theorem concerning the additive functional equation 2f(x+y+z2)=f(x)+f(y)+f(z) in the framework of intuitionistic fuzzy normed spaces through the fixed-point alternative ...
S. Mohiuddine, M. Alghamdi
semanticscholar   +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

Approximate ternary quadratic derivations on ternary Banach algebras and C*-ternary rings

, 2012
In the current article, we use a fixed point alternative theorem to establish the Hyers-Ulam stability and also the superstability of a ternary quadratic derivation on ternary Banach algebras and C*-ternary rings which is introduced in Shagholi et al ...
A. Bodaghi, I. Alias
semanticscholar   +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

Nonlinear -Fuzzy stability of cubic functional equations

, 2012
We establish some stability results for the cubic functional equations 3fx+ 3y+f3x-y= 15fx+y+ 15fx-y+ 80fy,f2x+y+f2x-y= 2fx+y+ 2fx-y+ 12fx and f3x+y+f3x-y= 3fx+y+ 3fx-y+ 48fx in the setting of various -fuzzy normed spaces that in turn generalize a ...
R. Agarwal, Y. Cho, R. Saadati, Shenghua Wang   +3 more
semanticscholar   +1 more source

Stability of the Jensen equation in C*-algebras: a fixed point approach

, 2012
Using fixed point method, we prove the Hyers-Ulam stability of homomorphisms in C*-algebras and Lie C*-algebras and also of derivations on C*-algebras and Lie C*-algebras for the Jensen equation.2010 Mathematics Subject Classification: 39B82; 47H10 ...
H. A. Kenary, H. Rezaei, S. Talebzadeh, Choonkill Park   +3 more
semanticscholar   +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 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

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

Zygfryd Kominek, a Mathematician, a Teacher, a Friend

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