Applications of fixed point theorems to the Hyers-Ulam stability‎‎ of functional equations–a survey

K Ciepliński - Annals of Functional Analysis, 2012 - projecteuclid.org
‎ The fixed point method‎,‎ which is the second most popular technique‎‎ of proving the Hyers-
Ulam stability of functional equations‎,‎ was‎‎ used for the first time in 1991 by JA‎.‎ Baker who …

On the superstability of ternary Jordan C*-homomorphisms.

DY Shin, C Park, S Farhadabadi - Journal of Computational …, 2014 - search.ebscohost.com
In this paper, we prove the superstability of ternary Jordan C< sup>*-homomorphisms
associated with the following Cauchy-Jensen functional equation: f (x+ y/2+ z)+ f (x+ z/2+ y)+ …

STABILITY OF TERNARY QUADRATIC DERIVATION ON TERNARY BANACH ALGEBRAS.

S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A be a ternary Banach algebra with norm||-||< sub> A and B be a ternary Banach algebra
with norm||-||< sub> B. A mapping D: A→ B is called a ternary quadratic derivation if D be a …

NEARLY TERNARY CUBIC HOMOMORPHISM IN TERNARY FRÉCHET ALGEBRAS.

S Shagholi, ME Gordji… - … Analysis & Applications, 2011 - search.ebscohost.com
Let A, B be two ternary algebras. A mapping H: A→ B is called a ternary cubic
homomorphism if H is a cubic function, which satisfies: H ([x, y, z])=[H (x), H (y), H (z)] for all …

Stability of (α, β, γ)-derivations on Lie C*-algebras

ME Gordji, N Ghobadipour - International Journal of Geometric …, 2010 - World Scientific
Petr Novotný and Jiřĺ Hrivnák [14] investigated and generalized the concept of Lie
derivations via certain complex parameters and obtained various Lie and Jordan operator …

The generalized cubic functional equation and the stability of cubic Jordan -derivations

A Bodaghi, SM Moosavi, H Rahimi - ANNALI DELL'UNIVERSITA'DI …, 2013 - Springer
In the current work, we obtain the general solution of the following generalized cubic
functional equation &f (x+ my)+ f (x-my)\&\quad= 2\left (2\cos\left (m π 2\right)+ m^ 2-1\right) f …

A fixed point method for perturbation of bimultipliers and Jordan bimultipliers in C∗-ternary algebras

A Ebadian, N Ghobadipour… - Journal of Mathematical …, 2010 - pubs.aip.org
Let A be a C∗-ternary algebra. A C-bilinear T: A× A→ A is called a C∗-ternary algebra bi-
multiplier, if it satisfies T ([abc], d)=[T (a, b) cd]⁠, T (a,[bcd])=[ab T (c, d)] for all a, b, c, d∊ A⁠ …

A fixed-point method for perturbation of higher ring derivations in non-Archimedean Banach algebras

ME Gordji, MB Ghaemi, B Alizadeh - International Journal of …, 2011 - World Scientific
A FIXED-POINT METHOD FOR PERTURBATION OF HIGHER RING DERIVATIONS IN NON-ARCHIMEDEAN
BANACH ALGEBRAS Page 1 International Journal of Geometric Methods in Modern Physics …

Nearly Ring Homomorphisms and Nearly Ring Derivations on Non‐Archimedean Banach Algebras

ME Gordji - Abstract and Applied Analysis, 2010 - Wiley Online Library
We prove the generalized Hyers‐Ulam stability of homomorphisms and derivations on non‐
Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms …

AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces

ME Gordji, R Khodabakhsh, SM Jung… - Abstract and Applied …, 2010 - Wiley Online Library
AQCQ‐Functional Equation in Non‐Archimedean Normed Spaces - Gordji - 2010 - Abstract and
Applied Analysis - Wiley Online Library Skip to Article Content Skip to Article Information Wiley …