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Fuzzy *-homomorphisms and fuzzy *-derivations in induced fuzzy C*-algebras

Title
Fuzzy *-homomorphisms and fuzzy *-derivations in induced fuzzy C*-algebras
Author
박춘길
Keywords
Induced fuzzy C*-algebra; Fuzzy *-homomorphism; Fuzzy *-derivation; Fixed point; Hyers-Ulam stability; Cauchy-Jensen functional equation; Cauchy-Jensen functional inequality
Issue Date
2011-11
Publisher
Elsevier Science LTD
Citation
Mathematical and Computer Modelling, 2011, 54(9), P.2027-2039
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of the Cauchy-Jensen functional equation and of the Cauchy-Jensen functional inequality in fuzzy Banach *-algebras and in induced fuzzy C*-algebras. Furthermore, using the fixed point method, we prove the Hyers-Ulam stability of fuzzy *-derivations in fuzzy Banach *-algebras and in induced fuzzy C*-algebras.
URI
https://www.sciencedirect.com/science/article/pii/S0895717711002822?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/72967
ISSN
0895-7177
DOI
10.1016/j.mcm.2011.05.012
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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