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

scholarly journals On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Jaiok Roh ◽  
Ick-Soon Chang
Keyword(s):  
Functional Equation ◽  
Banach Algebra ◽  
Ring Homomorphism ◽  
Normed Algebra ◽  
Intuitionistic Fuzzy ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
The Stability ◽  
Ring Derivation

We take into account the stability of ring homomorphism and ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation. In addition, we deal with the superstability of functional equationf(xy)=xf(y)+f(x)yin an intuitionistic fuzzy normed algebra with unit.

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 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

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