Fuzzy stability of a functional equation associated with inner product spaces

Moslehian et al. investigated the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces. In this paper, we prove the generalized Hyers–Ulam stability of a functional equation associated with inner product spaces in fuz...

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Bibliographic Details
Published in:Fuzzy sets and systems 2009-06, Vol.160 (11), p.1632-1642
Main Author: Park, Choonkil
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Computer science
control theory
systems
Control theory. Systems
Digital circuits
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
Functional equation associated with inner product space
Fuzzy Banach space
Generalized Hyers–Ulam stability
Information, signal and communications theory
Mathematical methods
Miscellaneous
System theory
Telecommunications and information theory
Theoretical computing
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Summary:Moslehian et al. investigated the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces. In this paper, we prove the generalized Hyers–Ulam stability of a functional equation associated with inner product spaces in fuzzy Banach spaces.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2008.11.027