Results 41 to 50 of about 120 (95)

A Functional Equation with Biadditive Functions

Annales Mathematicae Silesianae, 2022
Let S, H, X be groups. For two given biadditive functions A : S2 → X, B : H2 → X and for two unknown mappings T : S → H, g : S → S we will study the functional ...
Łukasik Radosław
doaj   +1 more source

Approximately cubic functional equations and cubic multipliers

Journal of Inequalities and Applications, 2011
In this paper, we prove the Hyers-Ulam stability and the superstability for cubic functional equation by using the fixed point alternative theorem. As a consequence, we show that the cubic multipliers are superstable under some conditions.
Alias Idham, Bodaghi Abasalt, Ghahramani Mohammad   +2 more
doaj  

Fuzzy stability of multi-additive mappings

Demonstratio Mathematica
The main aim of this study is to establish some stability results concerning the multi-additive mappings by applying the so-called direct (Hyers) method and the alternative fixed approach in the setting of fuzzy normed spaces.
Park Choonkil, Bodaghi Abasalt, Donganont Mana   +2 more
doaj   +1 more source

Superstability of functional equations related to spherical functions

Open Mathematics, 2017
In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Székelyhidi László
doaj   +1 more source

and Ashish, On the stability of generalized Cauchy linear functional equations, Int

, 2020
We investigate the following generalized Cauchy linear functional equation where a is an arbitrary number and prove the Hyers-Ulam-Rassias stability of the functional equations on Banach spaces.
Renu Chugh, Ashish
core  

Generalized Polynomials on Semigroups

Annales Mathematicae Silesianae
This article has two main parts. In the first part we show that some of the basic theory of generalized polynomials on commutative semi-groups can be extended to all semigroups.
Ebanks Bruce
doaj   +1 more source

On the Alienation of Multiplicative and Additive Functions

Annales Mathematicae Silesianae
Given S a semigroup. We study two Pexider-type functional equations fxy+gxy=fx+fy+gxgy,    x, y∈S,f\left( {xy} \right) + g\left( {xy} \right) = f\left( x \right) + f\left( y \right) + g\left( x \right)g\left( y \right), \;\;\;\;x,\;y \in S, and ...
Chakiri Mohamed, Chahbi Abdellatif, Elqorachi Elhoucien   +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

A Kannappan-Cosine Functional Equation on Semigroups

Annales Mathematicae Silesianae
In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz0) = g(x)g(y) − f (x)f (y), x, y ∈ S, where S is a semigroup and z0 is a fixed element in S.
Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien   +2 more
doaj   +1 more source

Stability of general multi-Euler-Lagrange quadratic functional equations in non-Archimedean fuzzy normed spaces

, 2012
In this paper we prove the generalized Hyers-Ulam stability of the system defining general Euler-Lagrange quadratic mappings in non-Archimedean fuzzy normed spaces over a field with valuation using the direct and the fixed point methods.
Xu, T.Z., Rassias, J.M.
core   +1 more source