Fixed Points and Stability of the Cauchy Functional Equation in Lie C * -Algebras

2009 ◽  
pp. 111-124
Author(s):  
Choonkil Park ◽  
Jianlian Cui
Keyword(s):  
Functional Equation ◽  
Fixed Points ◽  
Cauchy Functional Equation ◽  
C Algebras

COMMENT ON "STABILITY OF (α, β, γ)-DERIVATIONS ON LIE C*-ALGEBRAS" [M. ESHAGHI GORDJI AND N. GHOBADIPOUR, INT. J. GEOM.METHODS MOD. PHYS. 7(7) (2010) 1–10]

2012 ◽  
Vol 10 (02) ◽  
pp. 1220027
Author(s):  
CHOONKIL PARK ◽  
JUNG RYE LEE ◽  
DONG YUN SHIN ◽  
MADJID ESHAGHI GORDJI
Keyword(s):  
Functional Equation ◽  
Ulam Stability ◽  
C Algebras

Eshaghi Gordji and Ghobadipour proved the Hyers–Ulam stability of (α, β, γ)-derivations on Lie C*-algebras associated with the following functional equation [Formula: see text] Under the conditions in the main theorems, we can show that the related mappings must be zero. In this paper, we correct the conditions and prove the corrected theorems.

A note on an integrated cauchy functional equation

1989 ◽  
Vol 5 (2) ◽  
pp. 105-109
Author(s):  
Kasing Lau ◽  
Huamin Gu
Keyword(s):  
Functional Equation ◽  
Cauchy Functional Equation
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