The Jensen functional equation in non-Archimedean normed spaces [PDF]
Journal of Function Spaces and Applications, 2009 We investigate the Hyers–Ulam–Rassias stability of the Jensen functional equation in non-Archimedean normed spaces and study its asymptotic behavior in two directions: bounded and unbounded Jensen differences.
Mohammad Sal Moslehian
doaj +2 more sources
Generalized Jensen functional equation on restricted domain
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional ...
Chahbi Abdellatif +3 more
doaj +2 more sources
On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj +3 more sources
A Fixed Point Approach to the Stability of a Functional Equation of the Spiral of Theodorus
Fixed Point Theory and Applications, 2008 Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we adopt the idea of Cădariu and Radu to prove the stability of a functional equation of the spiral of Theodorus, f(x+1)=(
John Michael Rassias, Soon-Mo Jung
doaj +4 more sources
Stability of a Cauchy-Jensen Functional Equation in Quasi-Banach Spaces [PDF]
Journal of Inequalities and Applications, 2010 We obtain the generalized Hyers-Ulam stability of the Cauchy-Jensen functional equation .
Park Won-Gil, Bae Jae-Hyeong
doaj +2 more sources
Hyers-Ulam Stability of a Bi-Jensen Functional Equation on a Punctured Domain [PDF]
Journal of Inequalities and Applications, 2010 We obtain the Hyers-Ulam stability of a bi-Jensen functional equation: and simultaneously . And we get its stability on the punctured domain.
Lee Yang-Hi, Kim GwangHui
doaj +3 more sources
Approximate multi-Jensen-cubic mappings and a fixed point theorem [PDF]
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation.
Elahe Ramzanpour, Abasalt Bodaghi
doaj +2 more sources
Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach [PDF]
Abstract and Applied Analysis, 2009 Using fixed point methods, we prove the generalized 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-type functional equation f((x+y)/2)+f((x−y)/2)=f(x).
Choonkil Park, John Michael Rassias
doaj +3 more sources
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper, we prove the hyperstability of the following mixed additive-quadratic-Jensen functional equation 2f(x+y2)+f(x−y2)+f(y−x2)=f(x)+f(y)$$2f({{x + y} \over 2}) + f({{x - y} \over 2}) + f({{y - x} \over 2}) = f(x) + f(y)$$ in the class of ...
EL-Fassi Iz-iddine, Kabbaj Samir
doaj +2 more sources
Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach [PDF]
Fixed Point Theory and Applications, 2008 we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
doaj +2 more sources