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A QUADRATIC FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY 2-BANACH SPACES

Authors
Movahednia, EhsanGordji, Madjid EshaghiPark, ChoonkilShin, Dong Yun
Issue Date
Oct-2016
Publisher
Kluwer Academic Publishers
Keywords
Intuitionistic fuzzy 2-normed space; Fixed point; Hyers-Ulam stability; Quadratic functional equation
Citation
Journal of Computational Analysis and Applications, v.21, no.4, pp 761 - 768
Pages
8
Indexed
SCIE
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
21
Number
4
Start Page
761
End Page
768
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/153836
ISSN
1521-1398
1572-9206
Abstract
In this paper, we define an intuitionistic fuzzy 2-normed space. Using the fixed point alternative approach, we investigate the Hyers-Ulam stability of the following quadratic functional equation f(ax + by) + f(ax - by) = a/2 f (x + y) + a/2 f(x - y) + (2a(2) - a)f (x) + (2b(2) - a) f (y) in intuitionistic fuzzy 2-Banach spaces.
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