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Quadratic (ρ1, ρ2)-functional inequality in fuzzy normed spaces

Authors
Jo, YPark, JKim, TKim, JPark, C
Issue Date
Jul-2019
Publisher
Eudoxus Press, LLC
Keywords
fuzzy Banach space; quadratic (ρ1, ρ2)-functional inequality; fixed point method; Hyers-Ulam stability
Citation
Journal of Computational Analysis and Applications, v.26, no.8, pp.1521 - 1529
Indexed
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
26
Number
8
Start Page
1521
End Page
1529
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/147437
ISSN
1521-1398
Abstract
In this paper, we introduce and solve the following quadratic (ρ1, ρ2)-functional inequality (formala presented) in fuzzy normed spaces, where ρ1 and ρ2 are fixed nonzero real numbers with 1/|ρ1| + 1/2|ρ2| < 1, and f(0) = 0. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (ρ1, ρ2)- functional inequality (0.1) in fuzzy Banach spaces.
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