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A FIXED POINT METHOD TO THE STABILITY OF A JENSEN FUNCTIONAL EQUATION IN INTUITIONISTIC FUZZY 2-BANACH SPACES

Authors
Park, ChoonkilMovahednia, EhsanAnastassiou, George A.Yun, Sungsik
Issue Date
Mar-2017
Publisher
EUDOXUS PRESS, LLC
Keywords
Intuitionistic fuzzy 2-normed space; Fixed point; Hyers-Ulam stability; Jensen functional equation
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.22, no.3, pp.546 - 557
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
Volume
22
Number
3
Start Page
546
End Page
557
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/152744
ISSN
1521-1398
Abstract
In this paper, we recall the notion of intuitionistic fuzzy 2-normed space introduced in [1] and using the fixed point method, we investigate the Hyers-Ulam stability of the following functional equation 2f(x+y/2) + f(x-y/2) + f(y-x/2) = f(x) + f(y) (1) in intuitionistic fuzzy 2-Banach spaces.
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