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Approximate fuzzy ternary homomorphisms and fuzzy ternary derivations on fuzzy ternary Banach algebras
- Issue Date
- Jul-2015
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; fuzzy ternary Banach algebra; additive functional equation; fuzzy ternary homomorphism; fuzzy ternary derivation; fixed point method
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.19, no.1, pp.174 - 185
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 19
- Number
- 1
- Start Page
- 174
- End Page
- 185
- ISSN
- 1521-1398
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)