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A Fixed Point Approach to the Fuzzy Stability of an AQCQ-Functional Equationopen access
- Issue Date
- 2016
- Publisher
- UNIV NIS, FAC SCI MATH
- Keywords
- fuzzy Banach space; fuzzy random variable; fixed point; Hyers-Ulam stability; additive-quadratic-cubic-quartic functional equation
- Citation
- FILOMAT, v.30, no.7, pp.1833 - 1851
- Indexed
- SCIE
SCOPUS
- Journal Title
- FILOMAT
- Volume
- 30
- Number
- 7
- Start Page
- 1833
- End Page
- 1851
- ISSN
- 0354-5180
- Abstract
- In [32, 33], the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated. Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + f(2y) + f(-2y) - 4f(y) - 4f(-y) (1) in fuzzy Banach spaces.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)