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A fixed point approach to the fuzzy stability of an AQCQ-functional equation

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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.C. Park and D. Y. Shin were supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2012R1A1A2004299) and (NRF-2010-0021792), respectively

Topics: fuzzy Banach space, fuzzy random variable, fixed point, Hyers-Ulam stability, additive-quadratic-cubic-quartic functional equation
Publisher: UNIV NIS
Year: 2016
DOI identifier: 10.2298/FIL1607833P
OAI identifier: oai:repository.hanyang.ac.kr:20.500.11754/76341
Provided by: HANYANG Repository
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