scholarly journals General solution and generalized Hyers-Ulam stability of a two-variable Jensen functional equation

2013 ◽  
Vol 7 (1) ◽  
pp. 45 ◽  
Author(s):  
Asadollah Aghajani ◽  
Faezeh Zahedi
Keyword(s):  
Functional Equation ◽  
General Solution ◽  
Ulam Stability ◽  
Jensen Functional Equation ◽  
Jensen Functional

scholarly journals Intuitionistic fuzzy almost Cauchy–Jensen mappings

2016 ◽  
Vol 49 (1) ◽  
Author(s):  
M. E. Gordji ◽  
S. Abbaszadeh
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Intuitionistic Fuzzy ◽  
Jensen Functional Equation ◽  
Jensen Functional

AbstractIn this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of

APPROXIMATE 3-LIE HOMOMORPHISMS ON LIE ALGEBRA SYSTEMS

2013 ◽  
Vol 11 (05) ◽  
pp. 1350022
Author(s):  
ALI EBADIAN ◽  
RASOUL AGHALARY ◽  
JAVAD SHOKRI
Keyword(s):  
Functional Equation ◽  
Lie Algebra ◽  
Ulam Stability ◽  
Normed Spaces ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Lie Systems ◽  
The Stability

We prove the generalized Hyers–Ulam stability of mapping on normed spaces for the following Jensen functional equation: [Formula: see text] Moreover, we investigate the stability of homomorphisms on normed 3-Lie systems.

scholarly journals A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Jae-Hyeong Bae ◽  
Won-Gil Park
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
General Solution ◽  
Fixed Point Approach ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
The Stability

We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy-Jensen functional equation.

scholarly journals On the Generalized Hyers-Ulam Stability of a Cauchy-Jensen Functional Equation

2007 ◽  
Vol 2007 ◽  
pp. 1-15 ◽  
Author(s):  
Kil-Woung Jun ◽  
Yang-Hi Lee ◽  
Young-Sun Cho
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Jensen Functional Equation ◽  
Jensen Functional

In 2006, W. G. Park and J. H. Bae investigated the Hyers-Ulam stability of a Cauchy-Jensen functional equation. In this paper, we improve their results and obtain better results for a Cauchy-Jensen functional equation. Also, we establish new theorems for the generalized Hyers-Ulam stability of a Cauchy-Jensen functional equation.

scholarly journals Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
M. Eshaghi Gordji ◽  
Z. Alizadeh
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Banach Algebras ◽  
Ulam Stability ◽  
Ring Homomorphisms ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Fixed Point Methods

Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras associated with the Jensen functional equation.

scholarly journals Generalized Jensen functional equation on restricted domain

2014 ◽  
Vol 52 (1) ◽  
Author(s):  
Abdellatif Chahbi ◽  
Muaadh Almahalebi ◽  
Ahmed Chari ◽  
Samir Kabbaj
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Restricted Domain ◽  
Jensen Functional Equation ◽  
Restricted Domains ◽  
Jensen Functional

AbstractWe prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional equationwhere

On the Hyers-Ulam Stability of a bi-Jensen Functional Equation

2008 ◽  
Author(s):  
Gwang-Hui Kim ◽  
Yang-Hi Lee ◽  
Dal-Won Park ◽  
Theodore E. Simos ◽  
George Maroulis ◽  
...  
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
Jensen Functional Equation ◽  
Jensen Functional
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