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Approximate fuzzy ternary homomorphisms and fuzzy ternary derivations on fuzzy ternary Banach algebras

Title
Approximate fuzzy ternary homomorphisms and fuzzy ternary derivations on fuzzy ternary Banach algebras
Author
박춘길
Keywords
Hyers-Ulam stability; fuzzy ternary Banach algebra; additive functional equation; fuzzy ternary homomorphism; fuzzy ternary derivation; fixed point method
Issue Date
2015-07
Publisher
EUDOXUS PRESS
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v. 19, NO 1, Page. 174-185
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of ternary homomorphisms and ternary derivations in fuzzy ternary Banach algebras associated to the following additive functional equation Sigma(n)(k=2)(Sigma(k)(i1=2)Sigma i(2=i1+1)(k+1) ... Sigma i(n-k+1=in-k+1)(n) )f( Sigma(n)(i not equal 1,i not equal i1,i2...,in-k+1) xi- Sigma(n-k+1)(r=1) x(ir) ) + d (Sigma(n)(i=1)x(i)) = 2n-1 f(x(1)) for a fixed integer n with n ˃= 2.
URI
http://eds.b.ebscohost.com/eds/detail/detail?sid=726f2376-f35b-44f7-b440-11ca6f6a6be7%40sessionmgr103&vid=0&hid=113&bdata=Jmxhbmc9a28mc2l0ZT1lZHMtbGl2ZQ%3d%3d#AN=100037263&db=a9hhttps://www.researchgate.net/profile/Shahram_Rezapour/publication/279039403_On_some_self-adjoint_fractional_finite_difference_equations/links/571e283c08aead26e71a8203.pdf#page=174http://hdl.handle.net/20.500.11754/26581
ISSN
1521-1398; 1572-9206
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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