Stability of Cauchy additive functional equation in fuzzy Banach spaces

Autor:	Eunyoung Son, Hark-Mahn Kim, I Ck-Soon Chang
Rok vydání:	2013
Předmět:	Algebra Mathematics::Functional Analysis Pure mathematics Applied Mathematics General Mathematics Functional equation Banach space Cauchy distribution Stability (probability) Fuzzy logic Mathematics Integer (computer science)
Zdroj:	Mathematical Inequalities & Applications. :1123-1136
ISSN:	1331-4343
DOI:	10.7153/mia-16-87
Popis:	In this article, we prove the generalized Hyers-Ulam stability of the following Cauchy additive functional equation f x −y n +z + f y −z n +x + f z −x n +y = f(x+y+z) in fuzzy Banach spaces for any fixed nonzero integer n.
Databáze:	OpenAIRE
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