scholarly journals Stability for generalized Jensen functional equations and isomorphisms between $C^*$-algebras

2007 ◽  
Vol 14 (1) ◽  
pp. 1-14
Author(s):  
Hark-Mahn Kim
Keyword(s):  
Functional Equations ◽  
C Algebras ◽  
Jensen Functional

Stability of Functional Equations in C ∗-Algebras

2015 ◽  
pp. 51-163
Author(s):  
Yeol Je Cho ◽  
Choonkil Park ◽  
Themistocles M. Rassias ◽  
Reza Saadati
Keyword(s):  
Functional Equations ◽  
C Algebras ◽  
Stability Of Functional Equations

scholarly journals Approximation of additive functional equations in NA Lie C*-algebras

2018 ◽  
Vol 51 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Zhihua Wang ◽  
Reza Saadati
Keyword(s):  
Functional Equation ◽  
Fixed Point ◽  
Functional Equations ◽  
Additive Functional ◽  
Fixed Point Method ◽  
Content Type ◽  
Additive Functional Equation ◽  
C Algebras ◽  
Stable Map ◽  
Higher Derivation

AbstractIn this paper, by using fixed point method, we approximate a stable map of higher *-derivation in NA C*-algebras and of Lie higher *-derivations in NA Lie C*-algebras associated with the following additive functional equation,where m ≥ 2.

Stability of m-Jensen Functional Equations

2017 ◽  
Vol 24 (1) ◽  
pp. 1-12
Author(s):  
Teodoro Lara ◽  
Nelson Merentes ◽  
Roy Quintero ◽  
Edgar Rosales
Keyword(s):  
Functional Equations ◽  
Jensen Functional

scholarly journals On the stability of generalized d'Alembert and Jensen functional equations

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Gwang Hui Kim ◽  
Sever S. Dragomir
Keyword(s):  
Stability Problem ◽  
Functional Equations ◽  
Jensen Functional ◽  
The Stability

The aim of this paper is to study the stability problem of the generalized d'Alembert, Wilson, and Jensen functional equations.

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.

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