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.

ON APPROXIMATE n-ARY DERIVATIONS

2011 ◽  
Vol 08 (03) ◽  
pp. 485-500 ◽  
Author(s):  
M. ESHAGHI GORDJI ◽  
R. KHODABAKHSH ◽  
H. KHODAEI
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Banach Algebras ◽  
C Algebras ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Ternary Algebras ◽  
Fixed Point Methods ◽  
The Stability

C. Park et al. proved the stability of homomorphisms and derivations in Banach algebras, Banach ternary algebras, C*-algebras, Lie C*-algebras and C*-ternary algebras. In this paper, we improve and generalize some results concerning derivations. We first introduce the following generalized Jensen functional equation [Formula: see text] and using fixed point methods, we prove the stability of n-ary derivations and n-ary Jordan derivations in n-ary Banach algebras. Secondly, we study this functional equation with *-n-ary derivations in C*-n-ary algebras.

scholarly journals Approximate -Lie Homomorphisms and Jordan -Lie Homomorphisms on -Lie Algebras

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
M. Eshaghi Gordji ◽  
G. H. Kim
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Lie Algebras ◽  
Jensen Functional Equation ◽  
Jensen Functional ◽  
Fixed Point Methods ◽  
The Stability

Using fixed point methods, we establish the stability of -Lie homomorphisms and Jordan -Lie homomorphisms on -Lie algebras associated to the following generalized Jensen functional equation .

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 Hyers–Ulam Stability of Additive Functional Equation Using Direct and Fixed-Point Methods

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
K. Tamilvanan ◽  
G. Balasubramanian ◽  
Nazek Alessa ◽  
K. Loganathan
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Banach Spaces ◽  
Nonnegative Integer ◽  
Additive Functional ◽  
Ulam Stability ◽  
Additive Functional Equation ◽  
Fixed Point Methods ◽  
Stability Results

In this present work, we obtain the solution of the generalized additive functional equation and also establish Hyers–Ulam stability results by using alternative fixed point for a generalized additive functional equation χ ∑ g = 1 l v g = ∑ 1 ≤ g < h < i ≤ l χ v g + v h + v i − ∑ 1 ≤ g < h ≤ l χ v g + v h − l 2 − 5 l + 2 / 2 ∑ g = 1 l χ v g − χ − v g / 2 . where l is a nonnegative integer with ℕ − 0,1,2,3,4 in Banach spaces.

scholarly journals Fuzzy Stability Results of Finite Variable Additive Functional Equation: Direct and Fixed Point Methods

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1050 ◽  
Author(s):  
Abdulaziz M. Alanazi ◽  
G. Muhiuddin ◽  
K. Tamilvanan ◽  
Ebtehaj N. Alenze ◽  
Abdelhalim Ebaid ◽  
...  
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Normed Space ◽  
Additive Functional ◽  
Current Work ◽  
Ulam Stability ◽  
Fuzzy Normed Space ◽  
Additive Functional Equation ◽  
Fixed Point Methods ◽  
Stability Results

In this current work, we introduce the finite variable additive functional equation and we derive its solution. In fact, we investigate the Hyers–Ulam stability results for the finite variable additive functional equation in fuzzy normed space by two different approaches of direct and fixed point methods.

scholarly journals Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-22 ◽  
Author(s):  
M. Eshaghi Gordji ◽  
H. Azadi Kenary ◽  
H. Rezaei ◽  
Y. W. Lee ◽  
G. H. Kim
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Banach Spaces ◽  
Functional Equations ◽  
Mixed Type ◽  
Direct Method ◽  
Quadratic Functional ◽  
Ulam Stability ◽  
Fixed Point Methods ◽  
Rassias Stability

By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equationf(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y)for fixed integerskwithk≠0,±1in fuzzy Banach spaces.

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.

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