Results 51 to 60 of about 106 (94)

On the stability of a Cauchy type functional equation

Demonstratio Mathematica, 2018
In this work, the Hyers-Ulam type stability and the hyperstability of the functional equationare proved.
Lee Jung Rye, Najati Abbas, Park Choonkil, Rassias Themistocles M.   +3 more
doaj   +1 more source

The stability of high ring homomorphisms and derivations on fuzzy Banach algebras

Open Mathematics
In this article, we focus on exploring the fuzzy version of the Hyers-Ulam-Rassias stability of nn-ring homomorphisms and nn-ring derivations in the context of fuzzy Banach algebras. Our investigation utilizes the direct method.
Chen Lin, Luo Xiaolin
doaj   +1 more source

Stability of Functional Equations and Properties of Groups

Annales Mathematicae Silesianae, 2019
Investigating Hyers–Ulam stability of the additive Cauchy equation with domain in a group G, in order to obtain an additive function approximating the given almost additive one we need some properties of G, starting from commutativity to others more ...
Forti Gian Luigi
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

Stability and hyperstability of a quadratic functional equation and a characterization of inner product spaces

Demonstratio Mathematica, 2018
We have proved theHyers-Ulam stability and the hyperstability of the quadratic functional equation f (x + y + z) + f (x + y − z) + f (x − y + z) + f (−x + y + z) = 4[f (x) + f (y) + f (z)] in the class of functions from an abelian group G into a Banach ...
Kim Gwang Hui, El-Fassi Iz-iddine, Park Choonkil   +2 more
doaj   +1 more source

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

Approximate set-valued quadratic ρ-functional inequalities

Open Mathematics
In this paper, we attempt to deal with two types of set-valued quadratic ρ-functional inequalities, which are related to quadratic type set-valued functional equation.
Wang Zhihua
doaj   +1 more source

Global stability of latency-age/stage-structured epidemic models with differential infectivity. [PDF]

J Math Biol, 2023
Liu X, Chen Y, Li X, Li J.
europepmc   +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

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