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Homomorphisms and derivations in induced fuzzy C*-algebras

Authors
Kenary, Hassan AzadiGhirati, MojtabaPark, ChoonkilGordji, Madjid Eshaghi
Issue Date
Mar-2013
Publisher
SPRINGEROPEN
Keywords
Hyers-Ulam stability; fixed point method; fuzzy Banach algebra
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 12
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
12
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/163260
DOI
10.1186/1029-242X-2013-88
ISSN
1025-5834
Abstract
Using fixed point method, we establish the Hyers-Ulam stability of fuzzy au-homomorphisms in fuzzy -algebras and fuzzy au-derivations on fuzzy -algebras associated to the following -Cauchy-Jensen additive functional equation: Sigma(1 <= j1<...<Jm <= n1 <= kj(not equal for all is an element of{1, ... ,m})<= n)f(Sigma(m)(j=1)/m + Sigma X-n-m(l=1)kj) = (n - m + 1)/n (n(m))Sigma(n)(i=1)f(x(j))
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